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Simplifying 5x + -1(30 + 0.5x) = 180 5x + (30 * -1 + 0.5x * -1) = 180 5x + (-30 + -0.5x) = 180 Reorder the terms: -30 + 5x + -0.5x = 180 Combine like terms: 5x + -0.5x = 4.5x -30 + 4.5x = 180 Solving -30 + 4.5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 4.5x = 180 + 30 Combine like terms: -30 + 30 = 0 0 + 4.5x = 180 + 30 4.5x = 180 + 30 Combine like terms: 180 + 30 = 210 4.5x = 210 Divide each side by '4.5'. x = 46.66666667 Simplifying x = 46.66666667
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