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Simplifying -0.10(90) + 0.75x = 0.05(x + -12) Multiply -0.10 * 90 -9 + 0.75x = 0.05(x + -12) Reorder the terms: -9 + 0.75x = 0.05(-12 + x) -9 + 0.75x = (-12 * 0.05 + x * 0.05) -9 + 0.75x = (-0.6 + 0.05x) Solving -9 + 0.75x = -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. -9 + 0.75x + -0.05x = -0.6 + 0.05x + -0.05x Combine like terms: 0.75x + -0.05x = 0.7x -9 + 0.7x = -0.6 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -9 + 0.7x = -0.6 + 0.00 -9 + 0.7x = -0.6 Add '9' to each side of the equation. -9 + 9 + 0.7x = -0.6 + 9 Combine like terms: -9 + 9 = 0 0 + 0.7x = -0.6 + 9 0.7x = -0.6 + 9 Combine like terms: -0.6 + 9 = 8.4 0.7x = 8.4 Divide each side by '0.7'. x = 12 Simplifying x = 12
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