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Simplifying 500 = x + (x + x) + (x + 48) Combine like terms: x + x = 2x 500 = x + (2x) + (x + 48) 500 = x + (2x) + (x + 48) Reorder the terms: 500 = x + (2x) + (48 + x) Remove parenthesis around (48 + x) 500 = x + (2x) + 48 + x Reorder the terms: 500 = 48 + x + (2x) + x Combine like terms: x + (2x) = 3x 500 = 48 + 3x + x Combine like terms: 3x + x = 4x 500 = 48 + 4x Solving 500 = 48 + 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 = 48 + 4x + -4x Combine like terms: 4x + -4x = 0 500 + -4x = 48 + 0 500 + -4x = 48 Add '-500' to each side of the equation. 500 + -500 + -4x = 48 + -500 Combine like terms: 500 + -500 = 0 0 + -4x = 48 + -500 -4x = 48 + -500 Combine like terms: 48 + -500 = -452 -4x = -452 Divide each side by '-4'. x = 113 Simplifying x = 113
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