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Simplifying 3x + -2(3x + -2) = 2(4 + -1x) + -3 Reorder the terms: 3x + -2(-2 + 3x) = 2(4 + -1x) + -3 3x + (-2 * -2 + 3x * -2) = 2(4 + -1x) + -3 3x + (4 + -6x) = 2(4 + -1x) + -3 Reorder the terms: 4 + 3x + -6x = 2(4 + -1x) + -3 Combine like terms: 3x + -6x = -3x 4 + -3x = 2(4 + -1x) + -3 4 + -3x = (4 * 2 + -1x * 2) + -3 4 + -3x = (8 + -2x) + -3 Reorder the terms: 4 + -3x = 8 + -3 + -2x Combine like terms: 8 + -3 = 5 4 + -3x = 5 + -2x Solving 4 + -3x = 5 + -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. 4 + -3x + 2x = 5 + -2x + 2x Combine like terms: -3x + 2x = -1x 4 + -1x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + -1x = 5 + 0 4 + -1x = 5 Add '-4' to each side of the equation. 4 + -4 + -1x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 5 + -4 -1x = 5 + -4 Combine like terms: 5 + -4 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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