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Simplifying 0.9(5x + 10) = 1.8 + -1(x + 2) Reorder the terms: 0.9(10 + 5x) = 1.8 + -1(x + 2) (10 * 0.9 + 5x * 0.9) = 1.8 + -1(x + 2) (9 + 4.5x) = 1.8 + -1(x + 2) Reorder the terms: 9 + 4.5x = 1.8 + -1(2 + x) 9 + 4.5x = 1.8 + (2 * -1 + x * -1) 9 + 4.5x = 1.8 + (-2 + -1x) Combine like terms: 1.8 + -2 = -0.2 9 + 4.5x = -0.2 + -1x Solving 9 + 4.5x = -0.2 + -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. 9 + 4.5x + x = -0.2 + -1x + x Combine like terms: 4.5x + x = 5.5x 9 + 5.5x = -0.2 + -1x + x Combine like terms: -1x + x = 0 9 + 5.5x = -0.2 + 0 9 + 5.5x = -0.2 Add '-9' to each side of the equation. 9 + -9 + 5.5x = -0.2 + -9 Combine like terms: 9 + -9 = 0 0 + 5.5x = -0.2 + -9 5.5x = -0.2 + -9 Combine like terms: -0.2 + -9 = -9.2 5.5x = -9.2 Divide each side by '5.5'. x = -1.672727273 Simplifying x = -1.672727273
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