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