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Simplifying 5x + -2(3x + -1) = x + -2(1 + -5x) Reorder the terms: 5x + -2(-1 + 3x) = x + -2(1 + -5x) 5x + (-1 * -2 + 3x * -2) = x + -2(1 + -5x) 5x + (2 + -6x) = x + -2(1 + -5x) Reorder the terms: 2 + 5x + -6x = x + -2(1 + -5x) Combine like terms: 5x + -6x = -1x 2 + -1x = x + -2(1 + -5x) 2 + -1x = x + (1 * -2 + -5x * -2) 2 + -1x = x + (-2 + 10x) Reorder the terms: 2 + -1x = -2 + x + 10x Combine like terms: x + 10x = 11x 2 + -1x = -2 + 11x Solving 2 + -1x = -2 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 2 + -1x + -11x = -2 + 11x + -11x Combine like terms: -1x + -11x = -12x 2 + -12x = -2 + 11x + -11x Combine like terms: 11x + -11x = 0 2 + -12x = -2 + 0 2 + -12x = -2 Add '-2' to each side of the equation. 2 + -2 + -12x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -12x = -2 + -2 -12x = -2 + -2 Combine like terms: -2 + -2 = -4 -12x = -4 Divide each side by '-12'. x = 0.3333333333 Simplifying x = 0.3333333333
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