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Simplifying -2(x + -4) + -1(3x + -1) = -2 + (2x + -1) Reorder the terms: -2(-4 + x) + -1(3x + -1) = -2 + (2x + -1) (-4 * -2 + x * -2) + -1(3x + -1) = -2 + (2x + -1) (8 + -2x) + -1(3x + -1) = -2 + (2x + -1) Reorder the terms: 8 + -2x + -1(-1 + 3x) = -2 + (2x + -1) 8 + -2x + (-1 * -1 + 3x * -1) = -2 + (2x + -1) 8 + -2x + (1 + -3x) = -2 + (2x + -1) Reorder the terms: 8 + 1 + -2x + -3x = -2 + (2x + -1) Combine like terms: 8 + 1 = 9 9 + -2x + -3x = -2 + (2x + -1) Combine like terms: -2x + -3x = -5x 9 + -5x = -2 + (2x + -1) Reorder the terms: 9 + -5x = -2 + (-1 + 2x) Remove parenthesis around (-1 + 2x) 9 + -5x = -2 + -1 + 2x Combine like terms: -2 + -1 = -3 9 + -5x = -3 + 2x Solving 9 + -5x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9 + -5x + -2x = -3 + 2x + -2x Combine like terms: -5x + -2x = -7x 9 + -7x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + -7x = -3 + 0 9 + -7x = -3 Add '-9' to each side of the equation. 9 + -9 + -7x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = -3 + -9 -7x = -3 + -9 Combine like terms: -3 + -9 = -12 -7x = -12 Divide each side by '-7'. x = 1.714285714 Simplifying x = 1.714285714
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