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