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Simplifying -0.10(110) + 0.80x = 0.05(x + -10) Multiply -0.10 * 110 -11 + 0.80x = 0.05(x + -10) Reorder the terms: -11 + 0.80x = 0.05(-10 + x) -11 + 0.80x = (-10 * 0.05 + x * 0.05) -11 + 0.80x = (-0.5 + 0.05x) Solving -11 + 0.80x = -0.5 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. -11 + 0.80x + -0.05x = -0.5 + 0.05x + -0.05x Combine like terms: 0.80x + -0.05x = 0.75x -11 + 0.75x = -0.5 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -11 + 0.75x = -0.5 + 0.00 -11 + 0.75x = -0.5 Add '11' to each side of the equation. -11 + 11 + 0.75x = -0.5 + 11 Combine like terms: -11 + 11 = 0 0 + 0.75x = -0.5 + 11 0.75x = -0.5 + 11 Combine like terms: -0.5 + 11 = 10.5 0.75x = 10.5 Divide each side by '0.75'. x = 14 Simplifying x = 14
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