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Simplifying -0.10(83) + 0.60x = 0.05(x + -12) Multiply -0.10 * 83 -8.3 + 0.60x = 0.05(x + -12) Reorder the terms: -8.3 + 0.60x = 0.05(-12 + x) -8.3 + 0.60x = (-12 * 0.05 + x * 0.05) -8.3 + 0.60x = (-0.6 + 0.05x) Solving -8.3 + 0.60x = -0.6 + 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. -8.3 + 0.60x + -0.05x = -0.6 + 0.05x + -0.05x Combine like terms: 0.60x + -0.05x = 0.55x -8.3 + 0.55x = -0.6 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -8.3 + 0.55x = -0.6 + 0.00 -8.3 + 0.55x = -0.6 Add '8.3' to each side of the equation. -8.3 + 8.3 + 0.55x = -0.6 + 8.3 Combine like terms: -8.3 + 8.3 = 0.0 0.0 + 0.55x = -0.6 + 8.3 0.55x = -0.6 + 8.3 Combine like terms: -0.6 + 8.3 = 7.7 0.55x = 7.7 Divide each side by '0.55'. x = 14 Simplifying x = 14
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