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Simplifying (1 + 7)(2 + 8x) = 45 + -2.5(x + 4) Combine like terms: 1 + 7 = 8 (8)(2 + 8x) = 45 + -2.5(x + 4) (2 * 8 + 8x * 8) = 45 + -2.5(x + 4) (16 + 64x) = 45 + -2.5(x + 4) Reorder the terms: 16 + 64x = 45 + -2.5(4 + x) 16 + 64x = 45 + (4 * -2.5 + x * -2.5) 16 + 64x = 45 + (-10 + -2.5x) Combine like terms: 45 + -10 = 35 16 + 64x = 35 + -2.5x Solving 16 + 64x = 35 + -2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5x' to each side of the equation. 16 + 64x + 2.5x = 35 + -2.5x + 2.5x Combine like terms: 64x + 2.5x = 66.5x 16 + 66.5x = 35 + -2.5x + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 16 + 66.5x = 35 + 0.0 16 + 66.5x = 35 Add '-16' to each side of the equation. 16 + -16 + 66.5x = 35 + -16 Combine like terms: 16 + -16 = 0 0 + 66.5x = 35 + -16 66.5x = 35 + -16 Combine like terms: 35 + -16 = 19 66.5x = 19 Divide each side by '66.5'. x = 0.2857142857 Simplifying x = 0.2857142857
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