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Simplifying 0.09(2x + 8) = 20 + -1(x + 5) Reorder the terms: 0.09(8 + 2x) = 20 + -1(x + 5) (8 * 0.09 + 2x * 0.09) = 20 + -1(x + 5) (0.72 + 0.18x) = 20 + -1(x + 5) Reorder the terms: 0.72 + 0.18x = 20 + -1(5 + x) 0.72 + 0.18x = 20 + (5 * -1 + x * -1) 0.72 + 0.18x = 20 + (-5 + -1x) Combine like terms: 20 + -5 = 15 0.72 + 0.18x = 15 + -1x Solving 0.72 + 0.18x = 15 + -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. 0.72 + 0.18x + x = 15 + -1x + x Combine like terms: 0.18x + x = 1.18x 0.72 + 1.18x = 15 + -1x + x Combine like terms: -1x + x = 0 0.72 + 1.18x = 15 + 0 0.72 + 1.18x = 15 Add '-0.72' to each side of the equation. 0.72 + -0.72 + 1.18x = 15 + -0.72 Combine like terms: 0.72 + -0.72 = 0.00 0.00 + 1.18x = 15 + -0.72 1.18x = 15 + -0.72 Combine like terms: 15 + -0.72 = 14.28 1.18x = 14.28 Divide each side by '1.18'. x = 12.10169492 Simplifying x = 12.10169492
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