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Simplifying 7x + 4 + 4 + -1(7x + 4) + 2(7x + 4) = 180 Reorder the terms: 7x + 4 + 4 + -1(4 + 7x) + 2(7x + 4) = 180 7x + 4 + 4 + (4 * -1 + 7x * -1) + 2(7x + 4) = 180 7x + 4 + 4 + (-4 + -7x) + 2(7x + 4) = 180 Reorder the terms: 7x + 4 + 4 + -4 + -7x + 2(4 + 7x) = 180 7x + 4 + 4 + -4 + -7x + (4 * 2 + 7x * 2) = 180 7x + 4 + 4 + -4 + -7x + (8 + 14x) = 180 Reorder the terms: 4 + 4 + -4 + 8 + 7x + -7x + 14x = 180 Combine like terms: 4 + 4 = 8 8 + -4 + 8 + 7x + -7x + 14x = 180 Combine like terms: 8 + -4 = 4 4 + 8 + 7x + -7x + 14x = 180 Combine like terms: 4 + 8 = 12 12 + 7x + -7x + 14x = 180 Combine like terms: 7x + -7x = 0 12 + 0 + 14x = 180 12 + 14x = 180 Solving 12 + 14x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 14x = 180 + -12 Combine like terms: 12 + -12 = 0 0 + 14x = 180 + -12 14x = 180 + -12 Combine like terms: 180 + -12 = 168 14x = 168 Divide each side by '14'. x = 12 Simplifying x = 12
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