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Simplifying (4x + -18) + (7x + 21) + (3x + 51) = 180 Reorder the terms: (-18 + 4x) + (7x + 21) + (3x + 51) = 180 Remove parenthesis around (-18 + 4x) -18 + 4x + (7x + 21) + (3x + 51) = 180 Reorder the terms: -18 + 4x + (21 + 7x) + (3x + 51) = 180 Remove parenthesis around (21 + 7x) -18 + 4x + 21 + 7x + (3x + 51) = 180 Reorder the terms: -18 + 4x + 21 + 7x + (51 + 3x) = 180 Remove parenthesis around (51 + 3x) -18 + 4x + 21 + 7x + 51 + 3x = 180 Reorder the terms: -18 + 21 + 51 + 4x + 7x + 3x = 180 Combine like terms: -18 + 21 = 3 3 + 51 + 4x + 7x + 3x = 180 Combine like terms: 3 + 51 = 54 54 + 4x + 7x + 3x = 180 Combine like terms: 4x + 7x = 11x 54 + 11x + 3x = 180 Combine like terms: 11x + 3x = 14x 54 + 14x = 180 Solving 54 + 14x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 14x = 180 + -54 Combine like terms: 54 + -54 = 0 0 + 14x = 180 + -54 14x = 180 + -54 Combine like terms: 180 + -54 = 126 14x = 126 Divide each side by '14'. x = 9 Simplifying x = 9
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