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Simplifying 4(1 + 2x) = 5(x + -5) (1 * 4 + 2x * 4) = 5(x + -5) (4 + 8x) = 5(x + -5) Reorder the terms: 4 + 8x = 5(-5 + x) 4 + 8x = (-5 * 5 + x * 5) 4 + 8x = (-25 + 5x) Solving 4 + 8x = -25 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + 8x + -5x = -25 + 5x + -5x Combine like terms: 8x + -5x = 3x 4 + 3x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + 3x = -25 + 0 4 + 3x = -25 Add '-4' to each side of the equation. 4 + -4 + 3x = -25 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = -25 + -4 3x = -25 + -4 Combine like terms: -25 + -4 = -29 3x = -29 Divide each side by '3'. x = -9.666666667 Simplifying x = -9.666666667
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