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Simplifying 2(3x + 5) + 2(8x + -7) = 180 Reorder the terms: 2(5 + 3x) + 2(8x + -7) = 180 (5 * 2 + 3x * 2) + 2(8x + -7) = 180 (10 + 6x) + 2(8x + -7) = 180 Reorder the terms: 10 + 6x + 2(-7 + 8x) = 180 10 + 6x + (-7 * 2 + 8x * 2) = 180 10 + 6x + (-14 + 16x) = 180 Reorder the terms: 10 + -14 + 6x + 16x = 180 Combine like terms: 10 + -14 = -4 -4 + 6x + 16x = 180 Combine like terms: 6x + 16x = 22x -4 + 22x = 180 Solving -4 + 22x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 22x = 180 + 4 Combine like terms: -4 + 4 = 0 0 + 22x = 180 + 4 22x = 180 + 4 Combine like terms: 180 + 4 = 184 22x = 184 Divide each side by '22'. x = 8.363636364 Simplifying x = 8.363636364
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