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Simplifying 3(x + -4) + 15 = 2(x + 5) Reorder the terms: 3(-4 + x) + 15 = 2(x + 5) (-4 * 3 + x * 3) + 15 = 2(x + 5) (-12 + 3x) + 15 = 2(x + 5) Reorder the terms: -12 + 15 + 3x = 2(x + 5) Combine like terms: -12 + 15 = 3 3 + 3x = 2(x + 5) Reorder the terms: 3 + 3x = 2(5 + x) 3 + 3x = (5 * 2 + x * 2) 3 + 3x = (10 + 2x) Solving 3 + 3x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 3x + -2x = 10 + 2x + -2x Combine like terms: 3x + -2x = 1x 3 + 1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 1x = 10 + 0 3 + 1x = 10 Add '-3' to each side of the equation. 3 + -3 + 1x = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 10 + -3 1x = 10 + -3 Combine like terms: 10 + -3 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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