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