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Simplifying 180 = (x + 45) + (3x + 7) Reorder the terms: 180 = (45 + x) + (3x + 7) Remove parenthesis around (45 + x) 180 = 45 + x + (3x + 7) Reorder the terms: 180 = 45 + x + (7 + 3x) Remove parenthesis around (7 + 3x) 180 = 45 + x + 7 + 3x Reorder the terms: 180 = 45 + 7 + x + 3x Combine like terms: 45 + 7 = 52 180 = 52 + x + 3x Combine like terms: x + 3x = 4x 180 = 52 + 4x Solving 180 = 52 + 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. 180 + -4x = 52 + 4x + -4x Combine like terms: 4x + -4x = 0 180 + -4x = 52 + 0 180 + -4x = 52 Add '-180' to each side of the equation. 180 + -180 + -4x = 52 + -180 Combine like terms: 180 + -180 = 0 0 + -4x = 52 + -180 -4x = 52 + -180 Combine like terms: 52 + -180 = -128 -4x = -128 Divide each side by '-4'. x = 32 Simplifying x = 32
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