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Simplifying -0.10(42) + 0.85x = 0.05(x + -20) Multiply -0.10 * 42 -4.2 + 0.85x = 0.05(x + -20) Reorder the terms: -4.2 + 0.85x = 0.05(-20 + x) -4.2 + 0.85x = (-20 * 0.05 + x * 0.05) -4.2 + 0.85x = (-1 + 0.05x) Solving -4.2 + 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. -4.2 + 0.85x + -0.05x = -1 + 0.05x + -0.05x Combine like terms: 0.85x + -0.05x = 0.8x -4.2 + 0.8x = -1 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -4.2 + 0.8x = -1 + 0.00 -4.2 + 0.8x = -1 Add '4.2' to each side of the equation. -4.2 + 4.2 + 0.8x = -1 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 0.8x = -1 + 4.2 0.8x = -1 + 4.2 Combine like terms: -1 + 4.2 = 3.2 0.8x = 3.2 Divide each side by '0.8'. x = 4 Simplifying x = 4
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