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Simplifying 12s = 8 + 2x(5s + 3) Reorder the terms: 12s = 8 + 2x(3 + 5s) 12s = 8 + (3 * 2x + 5s * 2x) Reorder the terms: 12s = 8 + (10sx + 6x) 12s = 8 + (10sx + 6x) Solving 12s = 8 + 10sx + 6x Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-10sx' to each side of the equation. 12s + -10sx = 8 + 10sx + -10sx + 6x Combine like terms: 10sx + -10sx = 0 12s + -10sx = 8 + 0 + 6x 12s + -10sx = 8 + 6x Reorder the terms: -8 + 12s + -10sx + -6x = 8 + 6x + -8 + -6x Reorder the terms: -8 + 12s + -10sx + -6x = 8 + -8 + 6x + -6x Combine like terms: 8 + -8 = 0 -8 + 12s + -10sx + -6x = 0 + 6x + -6x -8 + 12s + -10sx + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 12s + -10sx + -6x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + 6s + -5sx + -3x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + 6s + -5sx + -3x)' equal to zero and attempt to solve: Simplifying -4 + 6s + -5sx + -3x = 0 Solving -4 + 6s + -5sx + -3x = 0 Move all terms containing s to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 6s + -5sx + 4 + -3x = 0 + 4 Reorder the terms: -4 + 4 + 6s + -5sx + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 6s + -5sx + -3x = 0 + 4 6s + -5sx + -3x = 0 + 4 Combine like terms: 0 + 4 = 4 6s + -5sx + -3x = 4 Add '3x' to each side of the equation. 6s + -5sx + -3x + 3x = 4 + 3x Combine like terms: -3x + 3x = 0 6s + -5sx + 0 = 4 + 3x 6s + -5sx = 4 + 3x 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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