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Simplifying 0.02x + 0.05(14 + -1x) = 0.10(-17) 0.02x + (14 * 0.05 + -1x * 0.05) = 0.10(-17) 0.02x + (0.7 + -0.05x) = 0.10(-17) Reorder the terms: 0.7 + 0.02x + -0.05x = 0.10(-17) Combine like terms: 0.02x + -0.05x = -0.03x 0.7 + -0.03x = 0.10(-17) Multiply 0.10 * -17 0.7 + -0.03x = -1.7 Solving 0.7 + -0.03x = -1.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7' to each side of the equation. 0.7 + -0.7 + -0.03x = -1.7 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + -0.03x = -1.7 + -0.7 -0.03x = -1.7 + -0.7 Combine like terms: -1.7 + -0.7 = -2.4 -0.03x = -2.4 Divide each side by '-0.03'. x = 80 Simplifying x = 80
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