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Simplifying 180 + -1(3x + -2) = x + 78 Reorder the terms: 180 + -1(-2 + 3x) = x + 78 180 + (-2 * -1 + 3x * -1) = x + 78 180 + (2 + -3x) = x + 78 Combine like terms: 180 + 2 = 182 182 + -3x = x + 78 Reorder the terms: 182 + -3x = 78 + x Solving 182 + -3x = 78 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 182 + -3x + -1x = 78 + x + -1x Combine like terms: -3x + -1x = -4x 182 + -4x = 78 + x + -1x Combine like terms: x + -1x = 0 182 + -4x = 78 + 0 182 + -4x = 78 Add '-182' to each side of the equation. 182 + -182 + -4x = 78 + -182 Combine like terms: 182 + -182 = 0 0 + -4x = 78 + -182 -4x = 78 + -182 Combine like terms: 78 + -182 = -104 -4x = -104 Divide each side by '-4'. x = 26 Simplifying x = 26
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