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Simplifying onethird(6x + 24) + -15 = -1onehalf(12x + -6) Reorder the terms: dehinort(24 + 6x) + -15 = -1onehalf(12x + -6) (24 * dehinort + 6x * dehinort) + -15 = -1onehalf(12x + -6) (24dehinort + 6dehinortx) + -15 = -1onehalf(12x + -6) Reorder the terms: -15 + 24dehinort + 6dehinortx = -1onehalf(12x + -6) Reorder the terms: -15 + 24dehinort + 6dehinortx = -1aefhlno(-6 + 12x) -15 + 24dehinort + 6dehinortx = (-6 * -1aefhlno + 12x * -1aefhlno) -15 + 24dehinort + 6dehinortx = (6aefhlno + -12aefhlnox) Solving -15 + 24dehinort + 6dehinortx = 6aefhlno + -12aefhlnox Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 24dehinort + 15 + 6dehinortx = 6aefhlno + 15 + -12aefhlnox Reorder the terms: -15 + 15 + 24dehinort + 6dehinortx = 6aefhlno + 15 + -12aefhlnox Combine like terms: -15 + 15 = 0 0 + 24dehinort + 6dehinortx = 6aefhlno + 15 + -12aefhlnox 24dehinort + 6dehinortx = 6aefhlno + 15 + -12aefhlnox Reorder the terms: 24dehinort + 6dehinortx = 15 + 6aefhlno + -12aefhlnox Reorder the terms: -15 + -6aefhlno + 12aefhlnox + 24dehinort + 6dehinortx = 15 + 6aefhlno + -12aefhlnox + -15 + -6aefhlno + 12aefhlnox Reorder the terms: -15 + -6aefhlno + 12aefhlnox + 24dehinort + 6dehinortx = 15 + -15 + 6aefhlno + -6aefhlno + -12aefhlnox + 12aefhlnox Combine like terms: 15 + -15 = 0 -15 + -6aefhlno + 12aefhlnox + 24dehinort + 6dehinortx = 0 + 6aefhlno + -6aefhlno + -12aefhlnox + 12aefhlnox -15 + -6aefhlno + 12aefhlnox + 24dehinort + 6dehinortx = 6aefhlno + -6aefhlno + -12aefhlnox + 12aefhlnox Combine like terms: 6aefhlno + -6aefhlno = 0 -15 + -6aefhlno + 12aefhlnox + 24dehinort + 6dehinortx = 0 + -12aefhlnox + 12aefhlnox -15 + -6aefhlno + 12aefhlnox + 24dehinort + 6dehinortx = -12aefhlnox + 12aefhlnox Combine like terms: -12aefhlnox + 12aefhlnox = 0 -15 + -6aefhlno + 12aefhlnox + 24dehinort + 6dehinortx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-5 + -2aefhlno + 4aefhlnox + 8dehinort + 2dehinortx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + -2aefhlno + 4aefhlnox + 8dehinort + 2dehinortx)' equal to zero and attempt to solve: Simplifying -5 + -2aefhlno + 4aefhlnox + 8dehinort + 2dehinortx = 0 Solving -5 + -2aefhlno + 4aefhlnox + 8dehinort + 2dehinortx = 0 Move all terms containing d to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -2aefhlno + 4aefhlnox + 8dehinort + 5 + 2dehinortx = 0 + 5 Reorder the terms: -5 + 5 + -2aefhlno + 4aefhlnox + 8dehinort + 2dehinortx = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2aefhlno + 4aefhlnox + 8dehinort + 2dehinortx = 0 + 5 -2aefhlno + 4aefhlnox + 8dehinort + 2dehinortx = 0 + 5 Combine like terms: 0 + 5 = 5 -2aefhlno + 4aefhlnox + 8dehinort + 2dehinortx = 5 Add '2aefhlno' to each side of the equation. -2aefhlno + 4aefhlnox + 8dehinort + 2aefhlno + 2dehinortx = 5 + 2aefhlno Reorder the terms: -2aefhlno + 2aefhlno + 4aefhlnox + 8dehinort + 2dehinortx = 5 + 2aefhlno Combine like terms: -2aefhlno + 2aefhlno = 0 0 + 4aefhlnox + 8dehinort + 2dehinortx = 5 + 2aefhlno 4aefhlnox + 8dehinort + 2dehinortx = 5 + 2aefhlno Add '-4aefhlnox' to each side of the equation. 4aefhlnox + 8dehinort + -4aefhlnox + 2dehinortx = 5 + 2aefhlno + -4aefhlnox Reorder the terms: 4aefhlnox + -4aefhlnox + 8dehinort + 2dehinortx = 5 + 2aefhlno + -4aefhlnox Combine like terms: 4aefhlnox + -4aefhlnox = 0 0 + 8dehinort + 2dehinortx = 5 + 2aefhlno + -4aefhlnox 8dehinort + 2dehinortx = 5 + 2aefhlno + -4aefhlnox The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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