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Simplifying 0.6(3x + 9) = 2.5 + -1(x + -3) Reorder the terms: 0.6(9 + 3x) = 2.5 + -1(x + -3) (9 * 0.6 + 3x * 0.6) = 2.5 + -1(x + -3) (5.4 + 1.8x) = 2.5 + -1(x + -3) Reorder the terms: 5.4 + 1.8x = 2.5 + -1(-3 + x) 5.4 + 1.8x = 2.5 + (-3 * -1 + x * -1) 5.4 + 1.8x = 2.5 + (3 + -1x) Combine like terms: 2.5 + 3 = 5.5 5.4 + 1.8x = 5.5 + -1x Solving 5.4 + 1.8x = 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 + 1.8x + x = 5.5 + -1x + x Combine like terms: 1.8x + x = 2.8x 5.4 + 2.8x = 5.5 + -1x + x Combine like terms: -1x + x = 0 5.4 + 2.8x = 5.5 + 0 5.4 + 2.8x = 5.5 Add '-5.4' to each side of the equation. 5.4 + -5.4 + 2.8x = 5.5 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + 2.8x = 5.5 + -5.4 2.8x = 5.5 + -5.4 Combine like terms: 5.5 + -5.4 = 0.1 2.8x = 0.1 Divide each side by '2.8'. x = 0.03571428571 Simplifying x = 0.03571428571
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