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Simplifying 2(x + 3) + -4 = 3(x + -1) + 2 Reorder the terms: 2(3 + x) + -4 = 3(x + -1) + 2 (3 * 2 + x * 2) + -4 = 3(x + -1) + 2 (6 + 2x) + -4 = 3(x + -1) + 2 Reorder the terms: 6 + -4 + 2x = 3(x + -1) + 2 Combine like terms: 6 + -4 = 2 2 + 2x = 3(x + -1) + 2 Reorder the terms: 2 + 2x = 3(-1 + x) + 2 2 + 2x = (-1 * 3 + x * 3) + 2 2 + 2x = (-3 + 3x) + 2 Reorder the terms: 2 + 2x = -3 + 2 + 3x Combine like terms: -3 + 2 = -1 2 + 2x = -1 + 3x Solving 2 + 2x = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + 2x + -3x = -1 + 3x + -3x Combine like terms: 2x + -3x = -1x 2 + -1x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -1x = -1 + 0 2 + -1x = -1 Add '-2' to each side of the equation. 2 + -2 + -1x = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = -1 + -2 -1x = -1 + -2 Combine like terms: -1 + -2 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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