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Simplifying 0.9(8x + 9) = 3.2 + -1(x + -3) Reorder the terms: 0.9(9 + 8x) = 3.2 + -1(x + -3) (9 * 0.9 + 8x * 0.9) = 3.2 + -1(x + -3) (8.1 + 7.2x) = 3.2 + -1(x + -3) Reorder the terms: 8.1 + 7.2x = 3.2 + -1(-3 + x) 8.1 + 7.2x = 3.2 + (-3 * -1 + x * -1) 8.1 + 7.2x = 3.2 + (3 + -1x) Combine like terms: 3.2 + 3 = 6.2 8.1 + 7.2x = 6.2 + -1x Solving 8.1 + 7.2x = 6.2 + -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. 8.1 + 7.2x + x = 6.2 + -1x + x Combine like terms: 7.2x + x = 8.2x 8.1 + 8.2x = 6.2 + -1x + x Combine like terms: -1x + x = 0 8.1 + 8.2x = 6.2 + 0 8.1 + 8.2x = 6.2 Add '-8.1' to each side of the equation. 8.1 + -8.1 + 8.2x = 6.2 + -8.1 Combine like terms: 8.1 + -8.1 = 0.0 0.0 + 8.2x = 6.2 + -8.1 8.2x = 6.2 + -8.1 Combine like terms: 6.2 + -8.1 = -1.9 8.2x = -1.9 Divide each side by '8.2'. x = -0.2317073171 Simplifying x = -0.2317073171
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