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Simplifying 0.9(3x + 8) = 4.3 + -1(x + -4) Reorder the terms: 0.9(8 + 3x) = 4.3 + -1(x + -4) (8 * 0.9 + 3x * 0.9) = 4.3 + -1(x + -4) (7.2 + 2.7x) = 4.3 + -1(x + -4) Reorder the terms: 7.2 + 2.7x = 4.3 + -1(-4 + x) 7.2 + 2.7x = 4.3 + (-4 * -1 + x * -1) 7.2 + 2.7x = 4.3 + (4 + -1x) Combine like terms: 4.3 + 4 = 8.3 7.2 + 2.7x = 8.3 + -1x Solving 7.2 + 2.7x = 8.3 + -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 + 2.7x + x = 8.3 + -1x + x Combine like terms: 2.7x + x = 3.7x 7.2 + 3.7x = 8.3 + -1x + x Combine like terms: -1x + x = 0 7.2 + 3.7x = 8.3 + 0 7.2 + 3.7x = 8.3 Add '-7.2' to each side of the equation. 7.2 + -7.2 + 3.7x = 8.3 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + 3.7x = 8.3 + -7.2 3.7x = 8.3 + -7.2 Combine like terms: 8.3 + -7.2 = 1.1 3.7x = 1.1 Divide each side by '3.7'. x = 0.2972972973 Simplifying x = 0.2972972973
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