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Simplifying 0.9(4x + 9) = 5.2 + -1(x + -3) Reorder the terms: 0.9(9 + 4x) = 5.2 + -1(x + -3) (9 * 0.9 + 4x * 0.9) = 5.2 + -1(x + -3) (8.1 + 3.6x) = 5.2 + -1(x + -3) Reorder the terms: 8.1 + 3.6x = 5.2 + -1(-3 + x) 8.1 + 3.6x = 5.2 + (-3 * -1 + x * -1) 8.1 + 3.6x = 5.2 + (3 + -1x) Combine like terms: 5.2 + 3 = 8.2 8.1 + 3.6x = 8.2 + -1x Solving 8.1 + 3.6x = 8.2 + -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 + 3.6x + x = 8.2 + -1x + x Combine like terms: 3.6x + x = 4.6x 8.1 + 4.6x = 8.2 + -1x + x Combine like terms: -1x + x = 0 8.1 + 4.6x = 8.2 + 0 8.1 + 4.6x = 8.2 Add '-8.1' to each side of the equation. 8.1 + -8.1 + 4.6x = 8.2 + -8.1 Combine like terms: 8.1 + -8.1 = 0.0 0.0 + 4.6x = 8.2 + -8.1 4.6x = 8.2 + -8.1 Combine like terms: 8.2 + -8.1 = 0.1 4.6x = 0.1 Divide each side by '4.6'. x = 0.02173913043 Simplifying x = 0.02173913043
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