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