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Simplifying -0.10(58) + 0.45x = 0.5(x + -4) Multiply -0.10 * 58 -5.8 + 0.45x = 0.5(x + -4) Reorder the terms: -5.8 + 0.45x = 0.5(-4 + x) -5.8 + 0.45x = (-4 * 0.5 + x * 0.5) -5.8 + 0.45x = (-2 + 0.5x) Solving -5.8 + 0.45x = -2 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -5.8 + 0.45x + -0.5x = -2 + 0.5x + -0.5x Combine like terms: 0.45x + -0.5x = -0.05x -5.8 + -0.05x = -2 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -5.8 + -0.05x = -2 + 0.0 -5.8 + -0.05x = -2 Add '5.8' to each side of the equation. -5.8 + 5.8 + -0.05x = -2 + 5.8 Combine like terms: -5.8 + 5.8 = 0.0 0.0 + -0.05x = -2 + 5.8 -0.05x = -2 + 5.8 Combine like terms: -2 + 5.8 = 3.8 -0.05x = 3.8 Divide each side by '-0.05'. x = -76 Simplifying x = -76
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