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Simplifying 0.9(3x + 6) = 1.7 + -1(x + 2) Reorder the terms: 0.9(6 + 3x) = 1.7 + -1(x + 2) (6 * 0.9 + 3x * 0.9) = 1.7 + -1(x + 2) (5.4 + 2.7x) = 1.7 + -1(x + 2) Reorder the terms: 5.4 + 2.7x = 1.7 + -1(2 + x) 5.4 + 2.7x = 1.7 + (2 * -1 + x * -1) 5.4 + 2.7x = 1.7 + (-2 + -1x) Combine like terms: 1.7 + -2 = -0.3 5.4 + 2.7x = -0.3 + -1x Solving 5.4 + 2.7x = -0.3 + -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. 5.4 + 2.7x + x = -0.3 + -1x + x Combine like terms: 2.7x + x = 3.7x 5.4 + 3.7x = -0.3 + -1x + x Combine like terms: -1x + x = 0 5.4 + 3.7x = -0.3 + 0 5.4 + 3.7x = -0.3 Add '-5.4' to each side of the equation. 5.4 + -5.4 + 3.7x = -0.3 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + 3.7x = -0.3 + -5.4 3.7x = -0.3 + -5.4 Combine like terms: -0.3 + -5.4 = -5.7 3.7x = -5.7 Divide each side by '3.7'. x = -1.540540541 Simplifying x = -1.540540541
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