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Simplifying 102 + x + [180 + -1(4x + 6)] = 180 Reorder the terms: 102 + x + [180 + -1(6 + 4x)] = 180 102 + x + [180 + (6 * -1 + 4x * -1)] = 180 102 + x + [180 + (-6 + -4x)] = 180 Combine like terms: 180 + -6 = 174 102 + x + [174 + -4x] = 180 Remove brackets around [174 + -4x] 102 + x + 174 + -4x = 180 Reorder the terms: 102 + 174 + x + -4x = 180 Combine like terms: 102 + 174 = 276 276 + x + -4x = 180 Combine like terms: x + -4x = -3x 276 + -3x = 180 Solving 276 + -3x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-276' to each side of the equation. 276 + -276 + -3x = 180 + -276 Combine like terms: 276 + -276 = 0 0 + -3x = 180 + -276 -3x = 180 + -276 Combine like terms: 180 + -276 = -96 -3x = -96 Divide each side by '-3'. x = 32 Simplifying x = 32
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