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Simplifying 0.9(2x + 8) = 20 + -1(x + 5) Reorder the terms: 0.9(8 + 2x) = 20 + -1(x + 5) (8 * 0.9 + 2x * 0.9) = 20 + -1(x + 5) (7.2 + 1.8x) = 20 + -1(x + 5) Reorder the terms: 7.2 + 1.8x = 20 + -1(5 + x) 7.2 + 1.8x = 20 + (5 * -1 + x * -1) 7.2 + 1.8x = 20 + (-5 + -1x) Combine like terms: 20 + -5 = 15 7.2 + 1.8x = 15 + -1x Solving 7.2 + 1.8x = 15 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 7.2 + 1.8x + x = 15 + -1x + x Combine like terms: 1.8x + x = 2.8x 7.2 + 2.8x = 15 + -1x + x Combine like terms: -1x + x = 0 7.2 + 2.8x = 15 + 0 7.2 + 2.8x = 15 Add '-7.2' to each side of the equation. 7.2 + -7.2 + 2.8x = 15 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + 2.8x = 15 + -7.2 2.8x = 15 + -7.2 Combine like terms: 15 + -7.2 = 7.8 2.8x = 7.8 Divide each side by '2.8'. x = 2.785714286 Simplifying x = 2.785714286
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