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Simplifying 180 + -1(10x + 3) + -1(5x + 4) = (5x + 4) Reorder the terms: 180 + -1(3 + 10x) + -1(5x + 4) = (5x + 4) 180 + (3 * -1 + 10x * -1) + -1(5x + 4) = (5x + 4) 180 + (-3 + -10x) + -1(5x + 4) = (5x + 4) Reorder the terms: 180 + -3 + -10x + -1(4 + 5x) = (5x + 4) 180 + -3 + -10x + (4 * -1 + 5x * -1) = (5x + 4) 180 + -3 + -10x + (-4 + -5x) = (5x + 4) Reorder the terms: 180 + -3 + -4 + -10x + -5x = (5x + 4) Combine like terms: 180 + -3 = 177 177 + -4 + -10x + -5x = (5x + 4) Combine like terms: 177 + -4 = 173 173 + -10x + -5x = (5x + 4) Combine like terms: -10x + -5x = -15x 173 + -15x = (5x + 4) Reorder the terms: 173 + -15x = (4 + 5x) Remove parenthesis around (4 + 5x) 173 + -15x = 4 + 5x Solving 173 + -15x = 4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 173 + -15x + -5x = 4 + 5x + -5x Combine like terms: -15x + -5x = -20x 173 + -20x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 173 + -20x = 4 + 0 173 + -20x = 4 Add '-173' to each side of the equation. 173 + -173 + -20x = 4 + -173 Combine like terms: 173 + -173 = 0 0 + -20x = 4 + -173 -20x = 4 + -173 Combine like terms: 4 + -173 = -169 -20x = -169 Divide each side by '-20'. x = 8.45 Simplifying x = 8.45
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