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Simplifying 3(x + 2) + -2(2x + -1) = 0 Reorder the terms: 3(2 + x) + -2(2x + -1) = 0 (2 * 3 + x * 3) + -2(2x + -1) = 0 (6 + 3x) + -2(2x + -1) = 0 Reorder the terms: 6 + 3x + -2(-1 + 2x) = 0 6 + 3x + (-1 * -2 + 2x * -2) = 0 6 + 3x + (2 + -4x) = 0 Reorder the terms: 6 + 2 + 3x + -4x = 0 Combine like terms: 6 + 2 = 8 8 + 3x + -4x = 0 Combine like terms: 3x + -4x = -1x 8 + -1x = 0 Solving 8 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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