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Simplifying -1x + 3 = -1(1 + -5x) + 2(6 + -1x) Reorder the terms: 3 + -1x = -1(1 + -5x) + 2(6 + -1x) 3 + -1x = (1 * -1 + -5x * -1) + 2(6 + -1x) 3 + -1x = (-1 + 5x) + 2(6 + -1x) 3 + -1x = -1 + 5x + (6 * 2 + -1x * 2) 3 + -1x = -1 + 5x + (12 + -2x) Reorder the terms: 3 + -1x = -1 + 12 + 5x + -2x Combine like terms: -1 + 12 = 11 3 + -1x = 11 + 5x + -2x Combine like terms: 5x + -2x = 3x 3 + -1x = 11 + 3x Solving 3 + -1x = 11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 3 + -1x + -3x = 11 + 3x + -3x Combine like terms: -1x + -3x = -4x 3 + -4x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -4x = 11 + 0 3 + -4x = 11 Add '-3' to each side of the equation. 3 + -3 + -4x = 11 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 11 + -3 -4x = 11 + -3 Combine like terms: 11 + -3 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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