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Simplifying 500 = 10(x + 30) Reorder the terms: 500 = 10(30 + x) 500 = (30 * 10 + x * 10) 500 = (300 + 10x) Solving 500 = 300 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 500 + -10x = 300 + 10x + -10x Combine like terms: 10x + -10x = 0 500 + -10x = 300 + 0 500 + -10x = 300 Add '-500' to each side of the equation. 500 + -500 + -10x = 300 + -500 Combine like terms: 500 + -500 = 0 0 + -10x = 300 + -500 -10x = 300 + -500 Combine like terms: 300 + -500 = -200 -10x = -200 Divide each side by '-10'. x = 20 Simplifying x = 20
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