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Simplifying 180 + -1(10x + 3) + -1(5x + 4) = (179 + -16x) Reorder the terms: 180 + -1(3 + 10x) + -1(5x + 4) = (179 + -16x) 180 + (3 * -1 + 10x * -1) + -1(5x + 4) = (179 + -16x) 180 + (-3 + -10x) + -1(5x + 4) = (179 + -16x) Reorder the terms: 180 + -3 + -10x + -1(4 + 5x) = (179 + -16x) 180 + -3 + -10x + (4 * -1 + 5x * -1) = (179 + -16x) 180 + -3 + -10x + (-4 + -5x) = (179 + -16x) Reorder the terms: 180 + -3 + -4 + -10x + -5x = (179 + -16x) Combine like terms: 180 + -3 = 177 177 + -4 + -10x + -5x = (179 + -16x) Combine like terms: 177 + -4 = 173 173 + -10x + -5x = (179 + -16x) Combine like terms: -10x + -5x = -15x 173 + -15x = (179 + -16x) Remove parenthesis around (179 + -16x) 173 + -15x = 179 + -16x Solving 173 + -15x = 179 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 173 + -15x + 16x = 179 + -16x + 16x Combine like terms: -15x + 16x = 1x 173 + 1x = 179 + -16x + 16x Combine like terms: -16x + 16x = 0 173 + 1x = 179 + 0 173 + 1x = 179 Add '-173' to each side of the equation. 173 + -173 + 1x = 179 + -173 Combine like terms: 173 + -173 = 0 0 + 1x = 179 + -173 1x = 179 + -173 Combine like terms: 179 + -173 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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