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Simplifying -0.10(24) + 0.20x = 1.05(x + -12) Multiply -0.10 * 24 -2.4 + 0.20x = 1.05(x + -12) Reorder the terms: -2.4 + 0.20x = 1.05(-12 + x) -2.4 + 0.20x = (-12 * 1.05 + x * 1.05) -2.4 + 0.20x = (-12.6 + 1.05x) Solving -2.4 + 0.20x = -12.6 + 1.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.05x' to each side of the equation. -2.4 + 0.20x + -1.05x = -12.6 + 1.05x + -1.05x Combine like terms: 0.20x + -1.05x = -0.85x -2.4 + -0.85x = -12.6 + 1.05x + -1.05x Combine like terms: 1.05x + -1.05x = 0.00 -2.4 + -0.85x = -12.6 + 0.00 -2.4 + -0.85x = -12.6 Add '2.4' to each side of the equation. -2.4 + 2.4 + -0.85x = -12.6 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + -0.85x = -12.6 + 2.4 -0.85x = -12.6 + 2.4 Combine like terms: -12.6 + 2.4 = -10.2 -0.85x = -10.2 Divide each side by '-0.85'. x = 12 Simplifying x = 12
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