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Simplifying (5x + -48) + (6x + 14) + (3x + 46) = 180 Reorder the terms: (-48 + 5x) + (6x + 14) + (3x + 46) = 180 Remove parenthesis around (-48 + 5x) -48 + 5x + (6x + 14) + (3x + 46) = 180 Reorder the terms: -48 + 5x + (14 + 6x) + (3x + 46) = 180 Remove parenthesis around (14 + 6x) -48 + 5x + 14 + 6x + (3x + 46) = 180 Reorder the terms: -48 + 5x + 14 + 6x + (46 + 3x) = 180 Remove parenthesis around (46 + 3x) -48 + 5x + 14 + 6x + 46 + 3x = 180 Reorder the terms: -48 + 14 + 46 + 5x + 6x + 3x = 180 Combine like terms: -48 + 14 = -34 -34 + 46 + 5x + 6x + 3x = 180 Combine like terms: -34 + 46 = 12 12 + 5x + 6x + 3x = 180 Combine like terms: 5x + 6x = 11x 12 + 11x + 3x = 180 Combine like terms: 11x + 3x = 14x 12 + 14x = 180 Solving 12 + 14x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 14x = 180 + -12 Combine like terms: 12 + -12 = 0 0 + 14x = 180 + -12 14x = 180 + -12 Combine like terms: 180 + -12 = 168 14x = 168 Divide each side by '14'. x = 12 Simplifying x = 12
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