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Simplifying (3x + 4) + (2x + 1) + (180 + -1(6x + -7)) = 180 Reorder the terms: (4 + 3x) + (2x + 1) + (180 + -1(6x + -7)) = 180 Remove parenthesis around (4 + 3x) 4 + 3x + (2x + 1) + (180 + -1(6x + -7)) = 180 Reorder the terms: 4 + 3x + (1 + 2x) + (180 + -1(6x + -7)) = 180 Remove parenthesis around (1 + 2x) 4 + 3x + 1 + 2x + (180 + -1(6x + -7)) = 180 Reorder the terms: 4 + 3x + 1 + 2x + (180 + -1(-7 + 6x)) = 180 4 + 3x + 1 + 2x + (180 + (-7 * -1 + 6x * -1)) = 180 4 + 3x + 1 + 2x + (180 + (7 + -6x)) = 180 Combine like terms: 180 + 7 = 187 4 + 3x + 1 + 2x + (187 + -6x) = 180 Remove parenthesis around (187 + -6x) 4 + 3x + 1 + 2x + 187 + -6x = 180 Reorder the terms: 4 + 1 + 187 + 3x + 2x + -6x = 180 Combine like terms: 4 + 1 = 5 5 + 187 + 3x + 2x + -6x = 180 Combine like terms: 5 + 187 = 192 192 + 3x + 2x + -6x = 180 Combine like terms: 3x + 2x = 5x 192 + 5x + -6x = 180 Combine like terms: 5x + -6x = -1x 192 + -1x = 180 Solving 192 + -1x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-192' to each side of the equation. 192 + -192 + -1x = 180 + -192 Combine like terms: 192 + -192 = 0 0 + -1x = 180 + -192 -1x = 180 + -192 Combine like terms: 180 + -192 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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