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Simplifying 7(x + 5) = -5(2x + -4) + 8x Reorder the terms: 7(5 + x) = -5(2x + -4) + 8x (5 * 7 + x * 7) = -5(2x + -4) + 8x (35 + 7x) = -5(2x + -4) + 8x Reorder the terms: 35 + 7x = -5(-4 + 2x) + 8x 35 + 7x = (-4 * -5 + 2x * -5) + 8x 35 + 7x = (20 + -10x) + 8x Combine like terms: -10x + 8x = -2x 35 + 7x = 20 + -2x Solving 35 + 7x = 20 + -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. 35 + 7x + 2x = 20 + -2x + 2x Combine like terms: 7x + 2x = 9x 35 + 9x = 20 + -2x + 2x Combine like terms: -2x + 2x = 0 35 + 9x = 20 + 0 35 + 9x = 20 Add '-35' to each side of the equation. 35 + -35 + 9x = 20 + -35 Combine like terms: 35 + -35 = 0 0 + 9x = 20 + -35 9x = 20 + -35 Combine like terms: 20 + -35 = -15 9x = -15 Divide each side by '9'. x = -1.666666667 Simplifying x = -1.666666667
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