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Simplifying -8(8 + -1x) = 4.5(x + 10) (8 * -8 + -1x * -8) = 4.5(x + 10) (-64 + 8x) = 4.5(x + 10) Reorder the terms: -64 + 8x = 4.5(10 + x) -64 + 8x = (10 * 4.5 + x * 4.5) -64 + 8x = (45 + 4.5x) Solving -64 + 8x = 45 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. -64 + 8x + -4.5x = 45 + 4.5x + -4.5x Combine like terms: 8x + -4.5x = 3.5x -64 + 3.5x = 45 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 -64 + 3.5x = 45 + 0.0 -64 + 3.5x = 45 Add '64' to each side of the equation. -64 + 64 + 3.5x = 45 + 64 Combine like terms: -64 + 64 = 0 0 + 3.5x = 45 + 64 3.5x = 45 + 64 Combine like terms: 45 + 64 = 109 3.5x = 109 Divide each side by '3.5'. x = 31.14285714 Simplifying x = 31.14285714
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