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Simplifying 0.9(4x + 8) = 1.1 + -1(x + 2) Reorder the terms: 0.9(8 + 4x) = 1.1 + -1(x + 2) (8 * 0.9 + 4x * 0.9) = 1.1 + -1(x + 2) (7.2 + 3.6x) = 1.1 + -1(x + 2) Reorder the terms: 7.2 + 3.6x = 1.1 + -1(2 + x) 7.2 + 3.6x = 1.1 + (2 * -1 + x * -1) 7.2 + 3.6x = 1.1 + (-2 + -1x) Combine like terms: 1.1 + -2 = -0.9 7.2 + 3.6x = -0.9 + -1x Solving 7.2 + 3.6x = -0.9 + -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 + 3.6x + x = -0.9 + -1x + x Combine like terms: 3.6x + x = 4.6x 7.2 + 4.6x = -0.9 + -1x + x Combine like terms: -1x + x = 0 7.2 + 4.6x = -0.9 + 0 7.2 + 4.6x = -0.9 Add '-7.2' to each side of the equation. 7.2 + -7.2 + 4.6x = -0.9 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + 4.6x = -0.9 + -7.2 4.6x = -0.9 + -7.2 Combine like terms: -0.9 + -7.2 = -8.1 4.6x = -8.1 Divide each side by '4.6'. x = -1.760869565 Simplifying x = -1.760869565
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