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Simplifying 0.9(3x + 6) = 13 + -1(x + 2) Reorder the terms: 0.9(6 + 3x) = 13 + -1(x + 2) (6 * 0.9 + 3x * 0.9) = 13 + -1(x + 2) (5.4 + 2.7x) = 13 + -1(x + 2) Reorder the terms: 5.4 + 2.7x = 13 + -1(2 + x) 5.4 + 2.7x = 13 + (2 * -1 + x * -1) 5.4 + 2.7x = 13 + (-2 + -1x) Combine like terms: 13 + -2 = 11 5.4 + 2.7x = 11 + -1x Solving 5.4 + 2.7x = 11 + -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 + 2.7x + x = 11 + -1x + x Combine like terms: 2.7x + x = 3.7x 5.4 + 3.7x = 11 + -1x + x Combine like terms: -1x + x = 0 5.4 + 3.7x = 11 + 0 5.4 + 3.7x = 11 Add '-5.4' to each side of the equation. 5.4 + -5.4 + 3.7x = 11 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + 3.7x = 11 + -5.4 3.7x = 11 + -5.4 Combine like terms: 11 + -5.4 = 5.6 3.7x = 5.6 Divide each side by '3.7'. x = 1.513513514 Simplifying x = 1.513513514
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