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Simplifying 12(3 + x) = 5(2x + 8) * P (3 * 12 + x * 12) = 5(2x + 8) * P (36 + 12x) = 5(2x + 8) * P Reorder the terms: 36 + 12x = 5(8 + 2x) * P Reorder the terms for easier multiplication: 36 + 12x = 5P(8 + 2x) 36 + 12x = (8 * 5P + 2x * 5P) 36 + 12x = (40P + 10xP) Solving 36 + 12x = 40P + 10xP Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10xP' to each side of the equation. 36 + 12x + -10xP = 40P + 10xP + -10xP Combine like terms: 10xP + -10xP = 0 36 + 12x + -10xP = 40P + 0 36 + 12x + -10xP = 40P Add '-36' to each side of the equation. 36 + 12x + -36 + -10xP = -36 + 40P Reorder the terms: 36 + -36 + 12x + -10xP = -36 + 40P Combine like terms: 36 + -36 = 0 0 + 12x + -10xP = -36 + 40P 12x + -10xP = -36 + 40P Reorder the terms: 36 + -40P + 12x + -10xP = -36 + 40P + 36 + -40P Reorder the terms: 36 + -40P + 12x + -10xP = -36 + 36 + 40P + -40P Combine like terms: -36 + 36 = 0 36 + -40P + 12x + -10xP = 0 + 40P + -40P 36 + -40P + 12x + -10xP = 40P + -40P Combine like terms: 40P + -40P = 0 36 + -40P + 12x + -10xP = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(18 + -20P + 6x + -5xP) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(18 + -20P + 6x + -5xP)' equal to zero and attempt to solve: Simplifying 18 + -20P + 6x + -5xP = 0 Solving 18 + -20P + 6x + -5xP = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -20P + 6x + -18 + -5xP = 0 + -18 Reorder the terms: 18 + -18 + -20P + 6x + -5xP = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -20P + 6x + -5xP = 0 + -18 -20P + 6x + -5xP = 0 + -18 Combine like terms: 0 + -18 = -18 -20P + 6x + -5xP = -18 Add '20P' to each side of the equation. -20P + 6x + 20P + -5xP = -18 + 20P Reorder the terms: -20P + 20P + 6x + -5xP = -18 + 20P Combine like terms: -20P + 20P = 0 0 + 6x + -5xP = -18 + 20P 6x + -5xP = -18 + 20P 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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