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Simplifying 7(x + -2) + 2(x + 4) + 27 = 180 Reorder the terms: 7(-2 + x) + 2(x + 4) + 27 = 180 (-2 * 7 + x * 7) + 2(x + 4) + 27 = 180 (-14 + 7x) + 2(x + 4) + 27 = 180 Reorder the terms: -14 + 7x + 2(4 + x) + 27 = 180 -14 + 7x + (4 * 2 + x * 2) + 27 = 180 -14 + 7x + (8 + 2x) + 27 = 180 Reorder the terms: -14 + 8 + 27 + 7x + 2x = 180 Combine like terms: -14 + 8 = -6 -6 + 27 + 7x + 2x = 180 Combine like terms: -6 + 27 = 21 21 + 7x + 2x = 180 Combine like terms: 7x + 2x = 9x 21 + 9x = 180 Solving 21 + 9x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 9x = 180 + -21 Combine like terms: 21 + -21 = 0 0 + 9x = 180 + -21 9x = 180 + -21 Combine like terms: 180 + -21 = 159 9x = 159 Divide each side by '9'. x = 17.66666667 Simplifying x = 17.66666667
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