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Simplifying 0.5(3x + 9) = 1.6 + -1(x + -3) Reorder the terms: 0.5(9 + 3x) = 1.6 + -1(x + -3) (9 * 0.5 + 3x * 0.5) = 1.6 + -1(x + -3) (4.5 + 1.5x) = 1.6 + -1(x + -3) Reorder the terms: 4.5 + 1.5x = 1.6 + -1(-3 + x) 4.5 + 1.5x = 1.6 + (-3 * -1 + x * -1) 4.5 + 1.5x = 1.6 + (3 + -1x) Combine like terms: 1.6 + 3 = 4.6 4.5 + 1.5x = 4.6 + -1x Solving 4.5 + 1.5x = 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 + 1.5x + x = 4.6 + -1x + x Combine like terms: 1.5x + x = 2.5x 4.5 + 2.5x = 4.6 + -1x + x Combine like terms: -1x + x = 0 4.5 + 2.5x = 4.6 + 0 4.5 + 2.5x = 4.6 Add '-4.5' to each side of the equation. 4.5 + -4.5 + 2.5x = 4.6 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 2.5x = 4.6 + -4.5 2.5x = 4.6 + -4.5 Combine like terms: 4.6 + -4.5 = 0.1 2.5x = 0.1 Divide each side by '2.5'. x = 0.04 Simplifying x = 0.04
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