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Simplifying 4(x + -1) + -1(5x + -8) = 3(5x + -1) + -9 Reorder the terms: 4(-1 + x) + -1(5x + -8) = 3(5x + -1) + -9 (-1 * 4 + x * 4) + -1(5x + -8) = 3(5x + -1) + -9 (-4 + 4x) + -1(5x + -8) = 3(5x + -1) + -9 Reorder the terms: -4 + 4x + -1(-8 + 5x) = 3(5x + -1) + -9 -4 + 4x + (-8 * -1 + 5x * -1) = 3(5x + -1) + -9 -4 + 4x + (8 + -5x) = 3(5x + -1) + -9 Reorder the terms: -4 + 8 + 4x + -5x = 3(5x + -1) + -9 Combine like terms: -4 + 8 = 4 4 + 4x + -5x = 3(5x + -1) + -9 Combine like terms: 4x + -5x = -1x 4 + -1x = 3(5x + -1) + -9 Reorder the terms: 4 + -1x = 3(-1 + 5x) + -9 4 + -1x = (-1 * 3 + 5x * 3) + -9 4 + -1x = (-3 + 15x) + -9 Reorder the terms: 4 + -1x = -3 + -9 + 15x Combine like terms: -3 + -9 = -12 4 + -1x = -12 + 15x Solving 4 + -1x = -12 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 4 + -1x + -15x = -12 + 15x + -15x Combine like terms: -1x + -15x = -16x 4 + -16x = -12 + 15x + -15x Combine like terms: 15x + -15x = 0 4 + -16x = -12 + 0 4 + -16x = -12 Add '-4' to each side of the equation. 4 + -4 + -16x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -16x = -12 + -4 -16x = -12 + -4 Combine like terms: -12 + -4 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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