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Simplifying 52 = x + x + (x + 14) + (x + 14) Reorder the terms: 52 = x + x + (14 + x) + (x + 14) Remove parenthesis around (14 + x) 52 = x + x + 14 + x + (x + 14) Reorder the terms: 52 = x + x + 14 + x + (14 + x) Remove parenthesis around (14 + x) 52 = x + x + 14 + x + 14 + x Reorder the terms: 52 = 14 + 14 + x + x + x + x Combine like terms: 14 + 14 = 28 52 = 28 + x + x + x + x Combine like terms: x + x = 2x 52 = 28 + 2x + x + x Combine like terms: 2x + x = 3x 52 = 28 + 3x + x Combine like terms: 3x + x = 4x 52 = 28 + 4x Solving 52 = 28 + 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. 52 + -4x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 52 + -4x = 28 + 0 52 + -4x = 28 Add '-52' to each side of the equation. 52 + -52 + -4x = 28 + -52 Combine like terms: 52 + -52 = 0 0 + -4x = 28 + -52 -4x = 28 + -52 Combine like terms: 28 + -52 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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