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Simplifying 15 + -2(x + -5) = 3(x + -12) + -4 Reorder the terms: 15 + -2(-5 + x) = 3(x + -12) + -4 15 + (-5 * -2 + x * -2) = 3(x + -12) + -4 15 + (10 + -2x) = 3(x + -12) + -4 Combine like terms: 15 + 10 = 25 25 + -2x = 3(x + -12) + -4 Reorder the terms: 25 + -2x = 3(-12 + x) + -4 25 + -2x = (-12 * 3 + x * 3) + -4 25 + -2x = (-36 + 3x) + -4 Reorder the terms: 25 + -2x = -36 + -4 + 3x Combine like terms: -36 + -4 = -40 25 + -2x = -40 + 3x Solving 25 + -2x = -40 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 25 + -2x + -3x = -40 + 3x + -3x Combine like terms: -2x + -3x = -5x 25 + -5x = -40 + 3x + -3x Combine like terms: 3x + -3x = 0 25 + -5x = -40 + 0 25 + -5x = -40 Add '-25' to each side of the equation. 25 + -25 + -5x = -40 + -25 Combine like terms: 25 + -25 = 0 0 + -5x = -40 + -25 -5x = -40 + -25 Combine like terms: -40 + -25 = -65 -5x = -65 Divide each side by '-5'. x = 13 Simplifying x = 13
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