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Simplifying 0.09(x + 15) = 2.5 + -1(x + 3) Reorder the terms: 0.09(15 + x) = 2.5 + -1(x + 3) (15 * 0.09 + x * 0.09) = 2.5 + -1(x + 3) (1.35 + 0.09x) = 2.5 + -1(x + 3) Reorder the terms: 1.35 + 0.09x = 2.5 + -1(3 + x) 1.35 + 0.09x = 2.5 + (3 * -1 + x * -1) 1.35 + 0.09x = 2.5 + (-3 + -1x) Combine like terms: 2.5 + -3 = -0.5 1.35 + 0.09x = -0.5 + -1x Solving 1.35 + 0.09x = -0.5 + -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. 1.35 + 0.09x + x = -0.5 + -1x + x Combine like terms: 0.09x + x = 1.09x 1.35 + 1.09x = -0.5 + -1x + x Combine like terms: -1x + x = 0 1.35 + 1.09x = -0.5 + 0 1.35 + 1.09x = -0.5 Add '-1.35' to each side of the equation. 1.35 + -1.35 + 1.09x = -0.5 + -1.35 Combine like terms: 1.35 + -1.35 = 0.00 0.00 + 1.09x = -0.5 + -1.35 1.09x = -0.5 + -1.35 Combine like terms: -0.5 + -1.35 = -1.85 1.09x = -1.85 Divide each side by '1.09'. x = -1.697247706 Simplifying x = -1.697247706
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