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Simplifying 0.10(30) + 0.45x = 0.05(x + -12) Multiply 0.10 * 30 3 + 0.45x = 0.05(x + -12) Reorder the terms: 3 + 0.45x = 0.05(-12 + x) 3 + 0.45x = (-12 * 0.05 + x * 0.05) 3 + 0.45x = (-0.6 + 0.05x) Solving 3 + 0.45x = -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 + 0.45x + -0.05x = -0.6 + 0.05x + -0.05x Combine like terms: 0.45x + -0.05x = 0.4x 3 + 0.4x = -0.6 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 3 + 0.4x = -0.6 + 0.00 3 + 0.4x = -0.6 Add '-3' to each side of the equation. 3 + -3 + 0.4x = -0.6 + -3 Combine like terms: 3 + -3 = 0 0 + 0.4x = -0.6 + -3 0.4x = -0.6 + -3 Combine like terms: -0.6 + -3 = -3.6 0.4x = -3.6 Divide each side by '0.4'. x = -9 Simplifying x = -9
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