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Simplifying 2(-1x + 3) + -3 = 2(5 + -5x) + 1 Reorder the terms: 2(3 + -1x) + -3 = 2(5 + -5x) + 1 (3 * 2 + -1x * 2) + -3 = 2(5 + -5x) + 1 (6 + -2x) + -3 = 2(5 + -5x) + 1 Reorder the terms: 6 + -3 + -2x = 2(5 + -5x) + 1 Combine like terms: 6 + -3 = 3 3 + -2x = 2(5 + -5x) + 1 3 + -2x = (5 * 2 + -5x * 2) + 1 3 + -2x = (10 + -10x) + 1 Reorder the terms: 3 + -2x = 10 + 1 + -10x Combine like terms: 10 + 1 = 11 3 + -2x = 11 + -10x Solving 3 + -2x = 11 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 3 + -2x + 10x = 11 + -10x + 10x Combine like terms: -2x + 10x = 8x 3 + 8x = 11 + -10x + 10x Combine like terms: -10x + 10x = 0 3 + 8x = 11 + 0 3 + 8x = 11 Add '-3' to each side of the equation. 3 + -3 + 8x = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 11 + -3 8x = 11 + -3 Combine like terms: 11 + -3 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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