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Simplifying -0.10(21) + 0.85 = 0.05(x + -10) Multiply -0.10 * 21 -2.1 + 0.85 = 0.05(x + -10) Combine like terms: -2.1 + 0.85 = -1.25 -1.25 = 0.05(x + -10) Reorder the terms: -1.25 = 0.05(-10 + x) -1.25 = (-10 * 0.05 + x * 0.05) -1.25 = (-0.5 + 0.05x) Solving -1.25 = -0.5 + 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. -1.25 + -0.05x = -0.5 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -1.25 + -0.05x = -0.5 + 0.00 -1.25 + -0.05x = -0.5 Add '1.25' to each side of the equation. -1.25 + 1.25 + -0.05x = -0.5 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + -0.05x = -0.5 + 1.25 -0.05x = -0.5 + 1.25 Combine like terms: -0.5 + 1.25 = 0.75 -0.05x = 0.75 Divide each side by '-0.05'. x = -15 Simplifying x = -15
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