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Simplifying 2(x + -4) = 3(x + 15) Reorder the terms: 2(-4 + x) = 3(x + 15) (-4 * 2 + x * 2) = 3(x + 15) (-8 + 2x) = 3(x + 15) Reorder the terms: -8 + 2x = 3(15 + x) -8 + 2x = (15 * 3 + x * 3) -8 + 2x = (45 + 3x) Solving -8 + 2x = 45 + 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. -8 + 2x + -3x = 45 + 3x + -3x Combine like terms: 2x + -3x = -1x -8 + -1x = 45 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + -1x = 45 + 0 -8 + -1x = 45 Add '8' to each side of the equation. -8 + 8 + -1x = 45 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 45 + 8 -1x = 45 + 8 Combine like terms: 45 + 8 = 53 -1x = 53 Divide each side by '-1'. x = -53 Simplifying x = -53
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