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Simplifying -0.10(22) + 0.45x = 0.05(x + -12) Multiply -0.10 * 22 -2.2 + 0.45x = 0.05(x + -12) Reorder the terms: -2.2 + 0.45x = 0.05(-12 + x) -2.2 + 0.45x = (-12 * 0.05 + x * 0.05) -2.2 + 0.45x = (-0.6 + 0.05x) Solving -2.2 + 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. -2.2 + 0.45x + -0.05x = -0.6 + 0.05x + -0.05x Combine like terms: 0.45x + -0.05x = 0.4x -2.2 + 0.4x = -0.6 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -2.2 + 0.4x = -0.6 + 0.00 -2.2 + 0.4x = -0.6 Add '2.2' to each side of the equation. -2.2 + 2.2 + 0.4x = -0.6 + 2.2 Combine like terms: -2.2 + 2.2 = 0.0 0.0 + 0.4x = -0.6 + 2.2 0.4x = -0.6 + 2.2 Combine like terms: -0.6 + 2.2 = 1.6 0.4x = 1.6 Divide each side by '0.4'. x = 4 Simplifying x = 4
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