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Simplifying 0.06x + 0.09(15 + -1x) = 0.07(15) 0.06x + (15 * 0.09 + -1x * 0.09) = 0.07(15) 0.06x + (1.35 + -0.09x) = 0.07(15) Reorder the terms: 1.35 + 0.06x + -0.09x = 0.07(15) Combine like terms: 0.06x + -0.09x = -0.03x 1.35 + -0.03x = 0.07(15) Multiply 0.07 * 15 1.35 + -0.03x = 1.05 Solving 1.35 + -0.03x = 1.05 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.35' to each side of the equation. 1.35 + -1.35 + -0.03x = 1.05 + -1.35 Combine like terms: 1.35 + -1.35 = 0.00 0.00 + -0.03x = 1.05 + -1.35 -0.03x = 1.05 + -1.35 Combine like terms: 1.05 + -1.35 = -0.3 -0.03x = -0.3 Divide each side by '-0.03'. x = 10 Simplifying x = 10
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