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Simplifying 3x + -1(2x + -1) = 5x + 2(3x + -4) Reorder the terms: 3x + -1(-1 + 2x) = 5x + 2(3x + -4) 3x + (-1 * -1 + 2x * -1) = 5x + 2(3x + -4) 3x + (1 + -2x) = 5x + 2(3x + -4) Reorder the terms: 1 + 3x + -2x = 5x + 2(3x + -4) Combine like terms: 3x + -2x = 1x 1 + 1x = 5x + 2(3x + -4) Reorder the terms: 1 + 1x = 5x + 2(-4 + 3x) 1 + 1x = 5x + (-4 * 2 + 3x * 2) 1 + 1x = 5x + (-8 + 6x) Reorder the terms: 1 + 1x = -8 + 5x + 6x Combine like terms: 5x + 6x = 11x 1 + 1x = -8 + 11x Solving 1 + 1x = -8 + 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. 1 + 1x + -11x = -8 + 11x + -11x Combine like terms: 1x + -11x = -10x 1 + -10x = -8 + 11x + -11x Combine like terms: 11x + -11x = 0 1 + -10x = -8 + 0 1 + -10x = -8 Add '-1' to each side of the equation. 1 + -1 + -10x = -8 + -1 Combine like terms: 1 + -1 = 0 0 + -10x = -8 + -1 -10x = -8 + -1 Combine like terms: -8 + -1 = -9 -10x = -9 Divide each side by '-10'. x = 0.9 Simplifying x = 0.9
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