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Simplifying 15 + 3(x + 2) = -7 + 2(x + 1) Reorder the terms: 15 + 3(2 + x) = -7 + 2(x + 1) 15 + (2 * 3 + x * 3) = -7 + 2(x + 1) 15 + (6 + 3x) = -7 + 2(x + 1) Combine like terms: 15 + 6 = 21 21 + 3x = -7 + 2(x + 1) Reorder the terms: 21 + 3x = -7 + 2(1 + x) 21 + 3x = -7 + (1 * 2 + x * 2) 21 + 3x = -7 + (2 + 2x) Combine like terms: -7 + 2 = -5 21 + 3x = -5 + 2x Solving 21 + 3x = -5 + 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. 21 + 3x + -2x = -5 + 2x + -2x Combine like terms: 3x + -2x = 1x 21 + 1x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + 1x = -5 + 0 21 + 1x = -5 Add '-21' to each side of the equation. 21 + -21 + 1x = -5 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = -5 + -21 1x = -5 + -21 Combine like terms: -5 + -21 = -26 1x = -26 Divide each side by '1'. x = -26 Simplifying x = -26
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