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Simplifying 4(x + -1) + -1(5x + -8) = 4(5x + -1) + -13 Reorder the terms: 4(-1 + x) + -1(5x + -8) = 4(5x + -1) + -13 (-1 * 4 + x * 4) + -1(5x + -8) = 4(5x + -1) + -13 (-4 + 4x) + -1(5x + -8) = 4(5x + -1) + -13 Reorder the terms: -4 + 4x + -1(-8 + 5x) = 4(5x + -1) + -13 -4 + 4x + (-8 * -1 + 5x * -1) = 4(5x + -1) + -13 -4 + 4x + (8 + -5x) = 4(5x + -1) + -13 Reorder the terms: -4 + 8 + 4x + -5x = 4(5x + -1) + -13 Combine like terms: -4 + 8 = 4 4 + 4x + -5x = 4(5x + -1) + -13 Combine like terms: 4x + -5x = -1x 4 + -1x = 4(5x + -1) + -13 Reorder the terms: 4 + -1x = 4(-1 + 5x) + -13 4 + -1x = (-1 * 4 + 5x * 4) + -13 4 + -1x = (-4 + 20x) + -13 Reorder the terms: 4 + -1x = -4 + -13 + 20x Combine like terms: -4 + -13 = -17 4 + -1x = -17 + 20x Solving 4 + -1x = -17 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 4 + -1x + -20x = -17 + 20x + -20x Combine like terms: -1x + -20x = -21x 4 + -21x = -17 + 20x + -20x Combine like terms: 20x + -20x = 0 4 + -21x = -17 + 0 4 + -21x = -17 Add '-4' to each side of the equation. 4 + -4 + -21x = -17 + -4 Combine like terms: 4 + -4 = 0 0 + -21x = -17 + -4 -21x = -17 + -4 Combine like terms: -17 + -4 = -21 -21x = -21 Divide each side by '-21'. x = 1 Simplifying x = 1
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