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Simplifying 3(-2x + 3) = x + 2 Reorder the terms: 3(3 + -2x) = x + 2 (3 * 3 + -2x * 3) = x + 2 (9 + -6x) = x + 2 Reorder the terms: 9 + -6x = 2 + x Solving 9 + -6x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 9 + -6x + -1x = 2 + x + -1x Combine like terms: -6x + -1x = -7x 9 + -7x = 2 + x + -1x Combine like terms: x + -1x = 0 9 + -7x = 2 + 0 9 + -7x = 2 Add '-9' to each side of the equation. 9 + -9 + -7x = 2 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = 2 + -9 -7x = 2 + -9 Combine like terms: 2 + -9 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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