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Simplifying 2(4x + 1) + (5x + -4) = 180 Reorder the terms: 2(1 + 4x) + (5x + -4) = 180 (1 * 2 + 4x * 2) + (5x + -4) = 180 (2 + 8x) + (5x + -4) = 180 Reorder the terms: 2 + 8x + (-4 + 5x) = 180 Remove parenthesis around (-4 + 5x) 2 + 8x + -4 + 5x = 180 Reorder the terms: 2 + -4 + 8x + 5x = 180 Combine like terms: 2 + -4 = -2 -2 + 8x + 5x = 180 Combine like terms: 8x + 5x = 13x -2 + 13x = 180 Solving -2 + 13x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 13x = 180 + 2 Combine like terms: -2 + 2 = 0 0 + 13x = 180 + 2 13x = 180 + 2 Combine like terms: 180 + 2 = 182 13x = 182 Divide each side by '13'. x = 14 Simplifying x = 14
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