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Simplifying 0.9(3x + 5) = 1.6 + -1(x + -3) Reorder the terms: 0.9(5 + 3x) = 1.6 + -1(x + -3) (5 * 0.9 + 3x * 0.9) = 1.6 + -1(x + -3) (4.5 + 2.7x) = 1.6 + -1(x + -3) Reorder the terms: 4.5 + 2.7x = 1.6 + -1(-3 + x) 4.5 + 2.7x = 1.6 + (-3 * -1 + x * -1) 4.5 + 2.7x = 1.6 + (3 + -1x) Combine like terms: 1.6 + 3 = 4.6 4.5 + 2.7x = 4.6 + -1x Solving 4.5 + 2.7x = 4.6 + -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. 4.5 + 2.7x + x = 4.6 + -1x + x Combine like terms: 2.7x + x = 3.7x 4.5 + 3.7x = 4.6 + -1x + x Combine like terms: -1x + x = 0 4.5 + 3.7x = 4.6 + 0 4.5 + 3.7x = 4.6 Add '-4.5' to each side of the equation. 4.5 + -4.5 + 3.7x = 4.6 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 3.7x = 4.6 + -4.5 3.7x = 4.6 + -4.5 Combine like terms: 4.6 + -4.5 = 0.1 3.7x = 0.1 Divide each side by '3.7'. x = 0.02702702703 Simplifying x = 0.02702702703
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