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Simplifying 3(4 + 3x) + 2(2x + -7) = 180 (4 * 3 + 3x * 3) + 2(2x + -7) = 180 (12 + 9x) + 2(2x + -7) = 180 Reorder the terms: 12 + 9x + 2(-7 + 2x) = 180 12 + 9x + (-7 * 2 + 2x * 2) = 180 12 + 9x + (-14 + 4x) = 180 Reorder the terms: 12 + -14 + 9x + 4x = 180 Combine like terms: 12 + -14 = -2 -2 + 9x + 4x = 180 Combine like terms: 9x + 4x = 13x -2 + 13x = 180 Solving -2 + 13x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 13x = 180 + 2 Combine like terms: -2 + 2 = 0 0 + 13x = 180 + 2 13x = 180 + 2 Combine like terms: 180 + 2 = 182 13x = 182 Divide each side by '13'. x = 14 Simplifying x = 14
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