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Simplifying 0.8(2x + 9) = 4.3 + -1(x + -3) Reorder the terms: 0.8(9 + 2x) = 4.3 + -1(x + -3) (9 * 0.8 + 2x * 0.8) = 4.3 + -1(x + -3) (7.2 + 1.6x) = 4.3 + -1(x + -3) Reorder the terms: 7.2 + 1.6x = 4.3 + -1(-3 + x) 7.2 + 1.6x = 4.3 + (-3 * -1 + x * -1) 7.2 + 1.6x = 4.3 + (3 + -1x) Combine like terms: 4.3 + 3 = 7.3 7.2 + 1.6x = 7.3 + -1x Solving 7.2 + 1.6x = 7.3 + -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 + 1.6x + x = 7.3 + -1x + x Combine like terms: 1.6x + x = 2.6x 7.2 + 2.6x = 7.3 + -1x + x Combine like terms: -1x + x = 0 7.2 + 2.6x = 7.3 + 0 7.2 + 2.6x = 7.3 Add '-7.2' to each side of the equation. 7.2 + -7.2 + 2.6x = 7.3 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + 2.6x = 7.3 + -7.2 2.6x = 7.3 + -7.2 Combine like terms: 7.3 + -7.2 = 0.1 2.6x = 0.1 Divide each side by '2.6'. x = 0.03846153846 Simplifying x = 0.03846153846
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