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Simplifying -5(-2 + -4x) + -2x = 8(x + 9) + 8 (-2 * -5 + -4x * -5) + -2x = 8(x + 9) + 8 (10 + 20x) + -2x = 8(x + 9) + 8 Combine like terms: 20x + -2x = 18x 10 + 18x = 8(x + 9) + 8 Reorder the terms: 10 + 18x = 8(9 + x) + 8 10 + 18x = (9 * 8 + x * 8) + 8 10 + 18x = (72 + 8x) + 8 Reorder the terms: 10 + 18x = 72 + 8 + 8x Combine like terms: 72 + 8 = 80 10 + 18x = 80 + 8x Solving 10 + 18x = 80 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + 18x + -8x = 80 + 8x + -8x Combine like terms: 18x + -8x = 10x 10 + 10x = 80 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + 10x = 80 + 0 10 + 10x = 80 Add '-10' to each side of the equation. 10 + -10 + 10x = 80 + -10 Combine like terms: 10 + -10 = 0 0 + 10x = 80 + -10 10x = 80 + -10 Combine like terms: 80 + -10 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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