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Simplifying -0.10(40) + 0.90x = 0.05(x + -12) Multiply -0.10 * 40 -4 + 0.90x = 0.05(x + -12) Reorder the terms: -4 + 0.90x = 0.05(-12 + x) -4 + 0.90x = (-12 * 0.05 + x * 0.05) -4 + 0.90x = (-0.6 + 0.05x) Solving -4 + 0.90x = -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. -4 + 0.90x + -0.05x = -0.6 + 0.05x + -0.05x Combine like terms: 0.90x + -0.05x = 0.85x -4 + 0.85x = -0.6 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -4 + 0.85x = -0.6 + 0.00 -4 + 0.85x = -0.6 Add '4' to each side of the equation. -4 + 4 + 0.85x = -0.6 + 4 Combine like terms: -4 + 4 = 0 0 + 0.85x = -0.6 + 4 0.85x = -0.6 + 4 Combine like terms: -0.6 + 4 = 3.4 0.85x = 3.4 Divide each side by '0.85'. x = 4 Simplifying x = 4
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