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Simplifying 1 + -2(3x + -5) = x + -1(2x + -1) Reorder the terms: 1 + -2(-5 + 3x) = x + -1(2x + -1) 1 + (-5 * -2 + 3x * -2) = x + -1(2x + -1) 1 + (10 + -6x) = x + -1(2x + -1) Combine like terms: 1 + 10 = 11 11 + -6x = x + -1(2x + -1) Reorder the terms: 11 + -6x = x + -1(-1 + 2x) 11 + -6x = x + (-1 * -1 + 2x * -1) 11 + -6x = x + (1 + -2x) Reorder the terms: 11 + -6x = 1 + x + -2x Combine like terms: x + -2x = -1x 11 + -6x = 1 + -1x Solving 11 + -6x = 1 + -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. 11 + -6x + x = 1 + -1x + x Combine like terms: -6x + x = -5x 11 + -5x = 1 + -1x + x Combine like terms: -1x + x = 0 11 + -5x = 1 + 0 11 + -5x = 1 Add '-11' to each side of the equation. 11 + -11 + -5x = 1 + -11 Combine like terms: 11 + -11 = 0 0 + -5x = 1 + -11 -5x = 1 + -11 Combine like terms: 1 + -11 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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