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Simplifying -0.10(89) + 0.90x = 0.05(x + -8) Multiply -0.10 * 89 -8.9 + 0.90x = 0.05(x + -8) Reorder the terms: -8.9 + 0.90x = 0.05(-8 + x) -8.9 + 0.90x = (-8 * 0.05 + x * 0.05) -8.9 + 0.90x = (-0.4 + 0.05x) Solving -8.9 + 0.90x = -0.4 + 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. -8.9 + 0.90x + -0.05x = -0.4 + 0.05x + -0.05x Combine like terms: 0.90x + -0.05x = 0.85x -8.9 + 0.85x = -0.4 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -8.9 + 0.85x = -0.4 + 0.00 -8.9 + 0.85x = -0.4 Add '8.9' to each side of the equation. -8.9 + 8.9 + 0.85x = -0.4 + 8.9 Combine like terms: -8.9 + 8.9 = 0.0 0.0 + 0.85x = -0.4 + 8.9 0.85x = -0.4 + 8.9 Combine like terms: -0.4 + 8.9 = 8.5 0.85x = 8.5 Divide each side by '0.85'. x = 10 Simplifying x = 10
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