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Simplifying 500 = 2(x + 20) + 2x Reorder the terms: 500 = 2(20 + x) + 2x 500 = (20 * 2 + x * 2) + 2x 500 = (40 + 2x) + 2x Combine like terms: 2x + 2x = 4x 500 = 40 + 4x Solving 500 = 40 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 500 + -4x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 500 + -4x = 40 + 0 500 + -4x = 40 Add '-500' to each side of the equation. 500 + -500 + -4x = 40 + -500 Combine like terms: 500 + -500 = 0 0 + -4x = 40 + -500 -4x = 40 + -500 Combine like terms: 40 + -500 = -460 -4x = -460 Divide each side by '-4'. x = 115 Simplifying x = 115
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