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Simplifying -0.10(102) + 0.85x = 0.05(x + -12) Multiply -0.10 * 102 -10.2 + 0.85x = 0.05(x + -12) Reorder the terms: -10.2 + 0.85x = 0.05(-12 + x) -10.2 + 0.85x = (-12 * 0.05 + x * 0.05) -10.2 + 0.85x = (-0.6 + 0.05x) Solving -10.2 + 0.85x = -0.6 + 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. -10.2 + 0.85x + -0.05x = -0.6 + 0.05x + -0.05x Combine like terms: 0.85x + -0.05x = 0.8x -10.2 + 0.8x = -0.6 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -10.2 + 0.8x = -0.6 + 0.00 -10.2 + 0.8x = -0.6 Add '10.2' to each side of the equation. -10.2 + 10.2 + 0.8x = -0.6 + 10.2 Combine like terms: -10.2 + 10.2 = 0.0 0.0 + 0.8x = -0.6 + 10.2 0.8x = -0.6 + 10.2 Combine like terms: -0.6 + 10.2 = 9.6 0.8x = 9.6 Divide each side by '0.8'. x = 12 Simplifying x = 12
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