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Simplifying 4(x + -1) + -1(5x + -8) = 2(3x + -1) + -8 Reorder the terms: 4(-1 + x) + -1(5x + -8) = 2(3x + -1) + -8 (-1 * 4 + x * 4) + -1(5x + -8) = 2(3x + -1) + -8 (-4 + 4x) + -1(5x + -8) = 2(3x + -1) + -8 Reorder the terms: -4 + 4x + -1(-8 + 5x) = 2(3x + -1) + -8 -4 + 4x + (-8 * -1 + 5x * -1) = 2(3x + -1) + -8 -4 + 4x + (8 + -5x) = 2(3x + -1) + -8 Reorder the terms: -4 + 8 + 4x + -5x = 2(3x + -1) + -8 Combine like terms: -4 + 8 = 4 4 + 4x + -5x = 2(3x + -1) + -8 Combine like terms: 4x + -5x = -1x 4 + -1x = 2(3x + -1) + -8 Reorder the terms: 4 + -1x = 2(-1 + 3x) + -8 4 + -1x = (-1 * 2 + 3x * 2) + -8 4 + -1x = (-2 + 6x) + -8 Reorder the terms: 4 + -1x = -2 + -8 + 6x Combine like terms: -2 + -8 = -10 4 + -1x = -10 + 6x Solving 4 + -1x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + -1x + -6x = -10 + 6x + -6x Combine like terms: -1x + -6x = -7x 4 + -7x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -7x = -10 + 0 4 + -7x = -10 Add '-4' to each side of the equation. 4 + -4 + -7x = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = -10 + -4 -7x = -10 + -4 Combine like terms: -10 + -4 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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