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Simplifying (37 + -7x) + (73 + -9x) + 180 + -1(101 + -19x) = 180 Remove parenthesis around (37 + -7x) 37 + -7x + (73 + -9x) + 180 + -1(101 + -19x) = 180 Remove parenthesis around (73 + -9x) 37 + -7x + 73 + -9x + 180 + -1(101 + -19x) = 180 37 + -7x + 73 + -9x + 180 + (101 * -1 + -19x * -1) = 180 37 + -7x + 73 + -9x + 180 + (-101 + 19x) = 180 Reorder the terms: 37 + 73 + 180 + -101 + -7x + -9x + 19x = 180 Combine like terms: 37 + 73 = 110 110 + 180 + -101 + -7x + -9x + 19x = 180 Combine like terms: 110 + 180 = 290 290 + -101 + -7x + -9x + 19x = 180 Combine like terms: 290 + -101 = 189 189 + -7x + -9x + 19x = 180 Combine like terms: -7x + -9x = -16x 189 + -16x + 19x = 180 Combine like terms: -16x + 19x = 3x 189 + 3x = 180 Solving 189 + 3x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-189' to each side of the equation. 189 + -189 + 3x = 180 + -189 Combine like terms: 189 + -189 = 0 0 + 3x = 180 + -189 3x = 180 + -189 Combine like terms: 180 + -189 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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