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Simplifying 7(x + -2) + -3(x + 2) = 180 Reorder the terms: 7(-2 + x) + -3(x + 2) = 180 (-2 * 7 + x * 7) + -3(x + 2) = 180 (-14 + 7x) + -3(x + 2) = 180 Reorder the terms: -14 + 7x + -3(2 + x) = 180 -14 + 7x + (2 * -3 + x * -3) = 180 -14 + 7x + (-6 + -3x) = 180 Reorder the terms: -14 + -6 + 7x + -3x = 180 Combine like terms: -14 + -6 = -20 -20 + 7x + -3x = 180 Combine like terms: 7x + -3x = 4x -20 + 4x = 180 Solving -20 + 4x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 4x = 180 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = 180 + 20 4x = 180 + 20 Combine like terms: 180 + 20 = 200 4x = 200 Divide each side by '4'. x = 50 Simplifying x = 50
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