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Simplifying 7x + 8 = 180 + -1(5x + 4) Reorder the terms: 8 + 7x = 180 + -1(5x + 4) Reorder the terms: 8 + 7x = 180 + -1(4 + 5x) 8 + 7x = 180 + (4 * -1 + 5x * -1) 8 + 7x = 180 + (-4 + -5x) Combine like terms: 180 + -4 = 176 8 + 7x = 176 + -5x Solving 8 + 7x = 176 + -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. 8 + 7x + 5x = 176 + -5x + 5x Combine like terms: 7x + 5x = 12x 8 + 12x = 176 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + 12x = 176 + 0 8 + 12x = 176 Add '-8' to each side of the equation. 8 + -8 + 12x = 176 + -8 Combine like terms: 8 + -8 = 0 0 + 12x = 176 + -8 12x = 176 + -8 Combine like terms: 176 + -8 = 168 12x = 168 Divide each side by '12'. x = 14 Simplifying x = 14
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