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Simplifying 0.65 + 0.05(18 + -1x) = 0.10(105) 0.65 + (18 * 0.05 + -1x * 0.05) = 0.10(105) 0.65 + (0.9 + -0.05x) = 0.10(105) Combine like terms: 0.65 + 0.9 = 1.55 1.55 + -0.05x = 0.10(105) Multiply 0.10 * 105 1.55 + -0.05x = 10.5 Solving 1.55 + -0.05x = 10.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.55' to each side of the equation. 1.55 + -1.55 + -0.05x = 10.5 + -1.55 Combine like terms: 1.55 + -1.55 = 0.00 0.00 + -0.05x = 10.5 + -1.55 -0.05x = 10.5 + -1.55 Combine like terms: 10.5 + -1.55 = 8.95 -0.05x = 8.95 Divide each side by '-0.05'. x = -179 Simplifying x = -179
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