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Simplifying -0.10(60) + 0.90x = 0.05(x + -18) Multiply -0.10 * 60 -6 + 0.90x = 0.05(x + -18) Reorder the terms: -6 + 0.90x = 0.05(-18 + x) -6 + 0.90x = (-18 * 0.05 + x * 0.05) -6 + 0.90x = (-0.9 + 0.05x) Solving -6 + 0.90x = -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. -6 + 0.90x + -0.05x = -0.9 + 0.05x + -0.05x Combine like terms: 0.90x + -0.05x = 0.85x -6 + 0.85x = -0.9 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -6 + 0.85x = -0.9 + 0.00 -6 + 0.85x = -0.9 Add '6' to each side of the equation. -6 + 6 + 0.85x = -0.9 + 6 Combine like terms: -6 + 6 = 0 0 + 0.85x = -0.9 + 6 0.85x = -0.9 + 6 Combine like terms: -0.9 + 6 = 5.1 0.85x = 5.1 Divide each side by '0.85'. x = 6 Simplifying x = 6
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