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Simplifying 4(x + 5) + -1(x + 5) = 180 Reorder the terms: 4(5 + x) + -1(x + 5) = 180 (5 * 4 + x * 4) + -1(x + 5) = 180 (20 + 4x) + -1(x + 5) = 180 Reorder the terms: 20 + 4x + -1(5 + x) = 180 20 + 4x + (5 * -1 + x * -1) = 180 20 + 4x + (-5 + -1x) = 180 Reorder the terms: 20 + -5 + 4x + -1x = 180 Combine like terms: 20 + -5 = 15 15 + 4x + -1x = 180 Combine like terms: 4x + -1x = 3x 15 + 3x = 180 Solving 15 + 3x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 3x = 180 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 180 + -15 3x = 180 + -15 Combine like terms: 180 + -15 = 165 3x = 165 Divide each side by '3'. x = 55 Simplifying x = 55
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