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Simplifying 180 + -1(10x + 3) + -1(5x + 4) = (10x + 3) Reorder the terms: 180 + -1(3 + 10x) + -1(5x + 4) = (10x + 3) 180 + (3 * -1 + 10x * -1) + -1(5x + 4) = (10x + 3) 180 + (-3 + -10x) + -1(5x + 4) = (10x + 3) Reorder the terms: 180 + -3 + -10x + -1(4 + 5x) = (10x + 3) 180 + -3 + -10x + (4 * -1 + 5x * -1) = (10x + 3) 180 + -3 + -10x + (-4 + -5x) = (10x + 3) Reorder the terms: 180 + -3 + -4 + -10x + -5x = (10x + 3) Combine like terms: 180 + -3 = 177 177 + -4 + -10x + -5x = (10x + 3) Combine like terms: 177 + -4 = 173 173 + -10x + -5x = (10x + 3) Combine like terms: -10x + -5x = -15x 173 + -15x = (10x + 3) Reorder the terms: 173 + -15x = (3 + 10x) Remove parenthesis around (3 + 10x) 173 + -15x = 3 + 10x Solving 173 + -15x = 3 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 173 + -15x + -10x = 3 + 10x + -10x Combine like terms: -15x + -10x = -25x 173 + -25x = 3 + 10x + -10x Combine like terms: 10x + -10x = 0 173 + -25x = 3 + 0 173 + -25x = 3 Add '-173' to each side of the equation. 173 + -173 + -25x = 3 + -173 Combine like terms: 173 + -173 = 0 0 + -25x = 3 + -173 -25x = 3 + -173 Combine like terms: 3 + -173 = -170 -25x = -170 Divide each side by '-25'. x = 6.8 Simplifying x = 6.8
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