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Simplifying 3(x + 7) + -6 = 2(x + 8) Reorder the terms: 3(7 + x) + -6 = 2(x + 8) (7 * 3 + x * 3) + -6 = 2(x + 8) (21 + 3x) + -6 = 2(x + 8) Reorder the terms: 21 + -6 + 3x = 2(x + 8) Combine like terms: 21 + -6 = 15 15 + 3x = 2(x + 8) Reorder the terms: 15 + 3x = 2(8 + x) 15 + 3x = (8 * 2 + x * 2) 15 + 3x = (16 + 2x) Solving 15 + 3x = 16 + 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 + 3x + -2x = 16 + 2x + -2x Combine like terms: 3x + -2x = 1x 15 + 1x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 1x = 16 + 0 15 + 1x = 16 Add '-15' to each side of the equation. 15 + -15 + 1x = 16 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 16 + -15 1x = 16 + -15 Combine like terms: 16 + -15 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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