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Simplifying -0.1(106) + 0.85x = 0.05(x + -20) Multiply -0.1 * 106 -10.6 + 0.85x = 0.05(x + -20) Reorder the terms: -10.6 + 0.85x = 0.05(-20 + x) -10.6 + 0.85x = (-20 * 0.05 + x * 0.05) -10.6 + 0.85x = (-1 + 0.05x) Solving -10.6 + 0.85x = -1 + 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. -10.6 + 0.85x + -0.05x = -1 + 0.05x + -0.05x Combine like terms: 0.85x + -0.05x = 0.8x -10.6 + 0.8x = -1 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -10.6 + 0.8x = -1 + 0.00 -10.6 + 0.8x = -1 Add '10.6' to each side of the equation. -10.6 + 10.6 + 0.8x = -1 + 10.6 Combine like terms: -10.6 + 10.6 = 0.0 0.0 + 0.8x = -1 + 10.6 0.8x = -1 + 10.6 Combine like terms: -1 + 10.6 = 9.6 0.8x = 9.6 Divide each side by '0.8'. x = 12 Simplifying x = 12
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