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Simplifying (180 + -1(2x + -14) + -1(x + -7)) + (7x + -221) = 180 Reorder the terms: (180 + -1(-14 + 2x) + -1(x + -7)) + (7x + -221) = 180 (180 + (-14 * -1 + 2x * -1) + -1(x + -7)) + (7x + -221) = 180 (180 + (14 + -2x) + -1(x + -7)) + (7x + -221) = 180 Reorder the terms: (180 + 14 + -2x + -1(-7 + x)) + (7x + -221) = 180 (180 + 14 + -2x + (-7 * -1 + x * -1)) + (7x + -221) = 180 (180 + 14 + -2x + (7 + -1x)) + (7x + -221) = 180 Reorder the terms: (180 + 14 + 7 + -2x + -1x) + (7x + -221) = 180 Combine like terms: 180 + 14 = 194 (194 + 7 + -2x + -1x) + (7x + -221) = 180 Combine like terms: 194 + 7 = 201 (201 + -2x + -1x) + (7x + -221) = 180 Combine like terms: -2x + -1x = -3x (201 + -3x) + (7x + -221) = 180 Remove parenthesis around (201 + -3x) 201 + -3x + (7x + -221) = 180 Reorder the terms: 201 + -3x + (-221 + 7x) = 180 Remove parenthesis around (-221 + 7x) 201 + -3x + -221 + 7x = 180 Reorder the terms: 201 + -221 + -3x + 7x = 180 Combine like terms: 201 + -221 = -20 -20 + -3x + 7x = 180 Combine like terms: -3x + 7x = 4x -20 + 4x = 180 Solving -20 + 4x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 4x = 180 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = 180 + 20 4x = 180 + 20 Combine like terms: 180 + 20 = 200 4x = 200 Divide each side by '4'. x = 50 Simplifying x = 50
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