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Simplifying -0.10(80) + 0.60x = 0.05(x + -6) Multiply -0.10 * 80 -8 + 0.60x = 0.05(x + -6) Reorder the terms: -8 + 0.60x = 0.05(-6 + x) -8 + 0.60x = (-6 * 0.05 + x * 0.05) -8 + 0.60x = (-0.3 + 0.05x) Solving -8 + 0.60x = -0.3 + 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. -8 + 0.60x + -0.05x = -0.3 + 0.05x + -0.05x Combine like terms: 0.60x + -0.05x = 0.55x -8 + 0.55x = -0.3 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -8 + 0.55x = -0.3 + 0.00 -8 + 0.55x = -0.3 Add '8' to each side of the equation. -8 + 8 + 0.55x = -0.3 + 8 Combine like terms: -8 + 8 = 0 0 + 0.55x = -0.3 + 8 0.55x = -0.3 + 8 Combine like terms: -0.3 + 8 = 7.7 0.55x = 7.7 Divide each side by '0.55'. x = 14 Simplifying x = 14
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