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Simplifying 2thirds(6x + 3) = 4x + 2 Reorder the terms: 2dhirst(3 + 6x) = 4x + 2 (3 * 2dhirst + 6x * 2dhirst) = 4x + 2 (6dhirst + 12dhirstx) = 4x + 2 Reorder the terms: 6dhirst + 12dhirstx = 2 + 4x Solving 6dhirst + 12dhirstx = 2 + 4x Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Reorder the terms: -2 + 6dhirst + 12dhirstx + -4x = 2 + 4x + -2 + -4x Reorder the terms: -2 + 6dhirst + 12dhirstx + -4x = 2 + -2 + 4x + -4x Combine like terms: 2 + -2 = 0 -2 + 6dhirst + 12dhirstx + -4x = 0 + 4x + -4x -2 + 6dhirst + 12dhirstx + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 6dhirst + 12dhirstx + -4x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 3dhirst + 6dhirstx + -2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 3dhirst + 6dhirstx + -2x)' equal to zero and attempt to solve: Simplifying -1 + 3dhirst + 6dhirstx + -2x = 0 Solving -1 + 3dhirst + 6dhirstx + -2x = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 3dhirst + 6dhirstx + 1 + -2x = 0 + 1 Reorder the terms: -1 + 1 + 3dhirst + 6dhirstx + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3dhirst + 6dhirstx + -2x = 0 + 1 3dhirst + 6dhirstx + -2x = 0 + 1 Combine like terms: 0 + 1 = 1 3dhirst + 6dhirstx + -2x = 1 Add '2x' to each side of the equation. 3dhirst + 6dhirstx + -2x + 2x = 1 + 2x Combine like terms: -2x + 2x = 0 3dhirst + 6dhirstx + 0 = 1 + 2x 3dhirst + 6dhirstx = 1 + 2x 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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