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Simplifying -0.10(21) + 0.85x = 0.05(x + -10) Multiply -0.10 * 21 -2.1 + 0.85x = 0.05(x + -10) Reorder the terms: -2.1 + 0.85x = 0.05(-10 + x) -2.1 + 0.85x = (-10 * 0.05 + x * 0.05) -2.1 + 0.85x = (-0.5 + 0.05x) Solving -2.1 + 0.85x = -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. -2.1 + 0.85x + -0.05x = -0.5 + 0.05x + -0.05x Combine like terms: 0.85x + -0.05x = 0.8x -2.1 + 0.8x = -0.5 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -2.1 + 0.8x = -0.5 + 0.00 -2.1 + 0.8x = -0.5 Add '2.1' to each side of the equation. -2.1 + 2.1 + 0.8x = -0.5 + 2.1 Combine like terms: -2.1 + 2.1 = 0.0 0.0 + 0.8x = -0.5 + 2.1 0.8x = -0.5 + 2.1 Combine like terms: -0.5 + 2.1 = 1.6 0.8x = 1.6 Divide each side by '0.8'. x = 2 Simplifying x = 2
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