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Simplifying 4 + -5(x + -4) = x + -1(8 + -1x) Reorder the terms: 4 + -5(-4 + x) = x + -1(8 + -1x) 4 + (-4 * -5 + x * -5) = x + -1(8 + -1x) 4 + (20 + -5x) = x + -1(8 + -1x) Combine like terms: 4 + 20 = 24 24 + -5x = x + -1(8 + -1x) 24 + -5x = x + (8 * -1 + -1x * -1) 24 + -5x = x + (-8 + 1x) Reorder the terms: 24 + -5x = -8 + x + 1x Combine like terms: x + 1x = 2x 24 + -5x = -8 + 2x Solving 24 + -5x = -8 + 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. 24 + -5x + -2x = -8 + 2x + -2x Combine like terms: -5x + -2x = -7x 24 + -7x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + -7x = -8 + 0 24 + -7x = -8 Add '-24' to each side of the equation. 24 + -24 + -7x = -8 + -24 Combine like terms: 24 + -24 = 0 0 + -7x = -8 + -24 -7x = -8 + -24 Combine like terms: -8 + -24 = -32 -7x = -32 Divide each side by '-7'. x = 4.571428571 Simplifying x = 4.571428571
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