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Simplifying 0.9(5x + 6) = 2.5 + -1(x + -3) Reorder the terms: 0.9(6 + 5x) = 2.5 + -1(x + -3) (6 * 0.9 + 5x * 0.9) = 2.5 + -1(x + -3) (5.4 + 4.5x) = 2.5 + -1(x + -3) Reorder the terms: 5.4 + 4.5x = 2.5 + -1(-3 + x) 5.4 + 4.5x = 2.5 + (-3 * -1 + x * -1) 5.4 + 4.5x = 2.5 + (3 + -1x) Combine like terms: 2.5 + 3 = 5.5 5.4 + 4.5x = 5.5 + -1x Solving 5.4 + 4.5x = 5.5 + -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. 5.4 + 4.5x + x = 5.5 + -1x + x Combine like terms: 4.5x + x = 5.5x 5.4 + 5.5x = 5.5 + -1x + x Combine like terms: -1x + x = 0 5.4 + 5.5x = 5.5 + 0 5.4 + 5.5x = 5.5 Add '-5.4' to each side of the equation. 5.4 + -5.4 + 5.5x = 5.5 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + 5.5x = 5.5 + -5.4 5.5x = 5.5 + -5.4 Combine like terms: 5.5 + -5.4 = 0.1 5.5x = 0.1 Divide each side by '5.5'. x = 0.01818181818 Simplifying x = 0.01818181818
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