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Simplifying 5(x + 3) + -4x = 2(x + 7) + -12 Reorder the terms: 5(3 + x) + -4x = 2(x + 7) + -12 (3 * 5 + x * 5) + -4x = 2(x + 7) + -12 (15 + 5x) + -4x = 2(x + 7) + -12 Combine like terms: 5x + -4x = 1x 15 + 1x = 2(x + 7) + -12 Reorder the terms: 15 + 1x = 2(7 + x) + -12 15 + 1x = (7 * 2 + x * 2) + -12 15 + 1x = (14 + 2x) + -12 Reorder the terms: 15 + 1x = 14 + -12 + 2x Combine like terms: 14 + -12 = 2 15 + 1x = 2 + 2x Solving 15 + 1x = 2 + 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. 15 + 1x + -2x = 2 + 2x + -2x Combine like terms: 1x + -2x = -1x 15 + -1x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + -1x = 2 + 0 15 + -1x = 2 Add '-15' to each side of the equation. 15 + -15 + -1x = 2 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 2 + -15 -1x = 2 + -15 Combine like terms: 2 + -15 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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