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Simplifying 0.75x + 0.05(20 + -1x) = 0.10(-116) 0.75x + (20 * 0.05 + -1x * 0.05) = 0.10(-116) 0.75x + (1 + -0.05x) = 0.10(-116) Reorder the terms: 1 + 0.75x + -0.05x = 0.10(-116) Combine like terms: 0.75x + -0.05x = 0.7x 1 + 0.7x = 0.10(-116) Multiply 0.10 * -116 1 + 0.7x = -11.6 Solving 1 + 0.7x = -11.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 0.7x = -11.6 + -1 Combine like terms: 1 + -1 = 0 0 + 0.7x = -11.6 + -1 0.7x = -11.6 + -1 Combine like terms: -11.6 + -1 = -12.6 0.7x = -12.6 Divide each side by '0.7'. x = -18 Simplifying x = -18
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