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Simplifying 4(x + -12) = 5(x + -15) Reorder the terms: 4(-12 + x) = 5(x + -15) (-12 * 4 + x * 4) = 5(x + -15) (-48 + 4x) = 5(x + -15) Reorder the terms: -48 + 4x = 5(-15 + x) -48 + 4x = (-15 * 5 + x * 5) -48 + 4x = (-75 + 5x) Solving -48 + 4x = -75 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -48 + 4x + -5x = -75 + 5x + -5x Combine like terms: 4x + -5x = -1x -48 + -1x = -75 + 5x + -5x Combine like terms: 5x + -5x = 0 -48 + -1x = -75 + 0 -48 + -1x = -75 Add '48' to each side of the equation. -48 + 48 + -1x = -75 + 48 Combine like terms: -48 + 48 = 0 0 + -1x = -75 + 48 -1x = -75 + 48 Combine like terms: -75 + 48 = -27 -1x = -27 Divide each side by '-1'. x = 27 Simplifying x = 27
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