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Simplifying -0.10(30) + 0.25x = 0.05(x + -12) Multiply -0.10 * 30 -3 + 0.25x = 0.05(x + -12) Reorder the terms: -3 + 0.25x = 0.05(-12 + x) -3 + 0.25x = (-12 * 0.05 + x * 0.05) -3 + 0.25x = (-0.6 + 0.05x) Solving -3 + 0.25x = -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. -3 + 0.25x + -0.05x = -0.6 + 0.05x + -0.05x Combine like terms: 0.25x + -0.05x = 0.2x -3 + 0.2x = -0.6 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -3 + 0.2x = -0.6 + 0.00 -3 + 0.2x = -0.6 Add '3' to each side of the equation. -3 + 3 + 0.2x = -0.6 + 3 Combine like terms: -3 + 3 = 0 0 + 0.2x = -0.6 + 3 0.2x = -0.6 + 3 Combine like terms: -0.6 + 3 = 2.4 0.2x = 2.4 Divide each side by '0.2'. x = 12 Simplifying x = 12
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