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Simplifying -0.10(75) + 0.60x = 0.05(x + -18) Multiply -0.10 * 75 -7.5 + 0.60x = 0.05(x + -18) Reorder the terms: -7.5 + 0.60x = 0.05(-18 + x) -7.5 + 0.60x = (-18 * 0.05 + x * 0.05) -7.5 + 0.60x = (-0.9 + 0.05x) Solving -7.5 + 0.60x = -0.9 + 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. -7.5 + 0.60x + -0.05x = -0.9 + 0.05x + -0.05x Combine like terms: 0.60x + -0.05x = 0.55x -7.5 + 0.55x = -0.9 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -7.5 + 0.55x = -0.9 + 0.00 -7.5 + 0.55x = -0.9 Add '7.5' to each side of the equation. -7.5 + 7.5 + 0.55x = -0.9 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 0.55x = -0.9 + 7.5 0.55x = -0.9 + 7.5 Combine like terms: -0.9 + 7.5 = 6.6 0.55x = 6.6 Divide each side by '0.55'. x = 12 Simplifying x = 12
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