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Simplifying 3(x + 2) + 7 = 2(x + 4) + -8 Reorder the terms: 3(2 + x) + 7 = 2(x + 4) + -8 (2 * 3 + x * 3) + 7 = 2(x + 4) + -8 (6 + 3x) + 7 = 2(x + 4) + -8 Reorder the terms: 6 + 7 + 3x = 2(x + 4) + -8 Combine like terms: 6 + 7 = 13 13 + 3x = 2(x + 4) + -8 Reorder the terms: 13 + 3x = 2(4 + x) + -8 13 + 3x = (4 * 2 + x * 2) + -8 13 + 3x = (8 + 2x) + -8 Reorder the terms: 13 + 3x = 8 + -8 + 2x Combine like terms: 8 + -8 = 0 13 + 3x = 0 + 2x 13 + 3x = 2x Solving 13 + 3x = 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. 13 + 3x + -2x = 2x + -2x Combine like terms: 3x + -2x = 1x 13 + 1x = 2x + -2x Combine like terms: 2x + -2x = 0 13 + 1x = 0 Add '-13' to each side of the equation. 13 + -13 + 1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 0 + -13 1x = 0 + -13 Combine like terms: 0 + -13 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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