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Simplifying -0.10(52) + 0.55x = 0.05(x + -4) Multiply -0.10 * 52 -5.2 + 0.55x = 0.05(x + -4) Reorder the terms: -5.2 + 0.55x = 0.05(-4 + x) -5.2 + 0.55x = (-4 * 0.05 + x * 0.05) -5.2 + 0.55x = (-0.2 + 0.05x) Solving -5.2 + 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. -5.2 + 0.55x + -0.05x = -0.2 + 0.05x + -0.05x Combine like terms: 0.55x + -0.05x = 0.5x -5.2 + 0.5x = -0.2 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -5.2 + 0.5x = -0.2 + 0.00 -5.2 + 0.5x = -0.2 Add '5.2' to each side of the equation. -5.2 + 5.2 + 0.5x = -0.2 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 0.5x = -0.2 + 5.2 0.5x = -0.2 + 5.2 Combine like terms: -0.2 + 5.2 = 5 0.5x = 5 Divide each side by '0.5'. x = 10 Simplifying x = 10
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