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Simplifying 3(x + -4) + 2x = 5(x + -12) + -15 Reorder the terms: 3(-4 + x) + 2x = 5(x + -12) + -15 (-4 * 3 + x * 3) + 2x = 5(x + -12) + -15 (-12 + 3x) + 2x = 5(x + -12) + -15 Combine like terms: 3x + 2x = 5x -12 + 5x = 5(x + -12) + -15 Reorder the terms: -12 + 5x = 5(-12 + x) + -15 -12 + 5x = (-12 * 5 + x * 5) + -15 -12 + 5x = (-60 + 5x) + -15 Reorder the terms: -12 + 5x = -60 + -15 + 5x Combine like terms: -60 + -15 = -75 -12 + 5x = -75 + 5x Add '-5x' to each side of the equation. -12 + 5x + -5x = -75 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 0 = -75 + 5x + -5x -12 = -75 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 = -75 + 0 -12 = -75 Solving -12 = -75 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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