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Simplifying -0.10(12) + 0.55x = 0.05(x + -4) Multiply -0.10 * 12 -1.2 + 0.55x = 0.05(x + -4) Reorder the terms: -1.2 + 0.55x = 0.05(-4 + x) -1.2 + 0.55x = (-4 * 0.05 + x * 0.05) -1.2 + 0.55x = (-0.2 + 0.05x) Solving -1.2 + 0.55x = -0.2 + 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. -1.2 + 0.55x + -0.05x = -0.2 + 0.05x + -0.05x Combine like terms: 0.55x + -0.05x = 0.5x -1.2 + 0.5x = -0.2 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -1.2 + 0.5x = -0.2 + 0.00 -1.2 + 0.5x = -0.2 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.5x = -0.2 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.5x = -0.2 + 1.2 0.5x = -0.2 + 1.2 Combine like terms: -0.2 + 1.2 = 1 0.5x = 1 Divide each side by '0.5'. x = 2 Simplifying x = 2
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