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Simplifying 2(4x + -12) + 2(3x + 4) = 180 Reorder the terms: 2(-12 + 4x) + 2(3x + 4) = 180 (-12 * 2 + 4x * 2) + 2(3x + 4) = 180 (-24 + 8x) + 2(3x + 4) = 180 Reorder the terms: -24 + 8x + 2(4 + 3x) = 180 -24 + 8x + (4 * 2 + 3x * 2) = 180 -24 + 8x + (8 + 6x) = 180 Reorder the terms: -24 + 8 + 8x + 6x = 180 Combine like terms: -24 + 8 = -16 -16 + 8x + 6x = 180 Combine like terms: 8x + 6x = 14x -16 + 14x = 180 Solving -16 + 14x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 14x = 180 + 16 Combine like terms: -16 + 16 = 0 0 + 14x = 180 + 16 14x = 180 + 16 Combine like terms: 180 + 16 = 196 14x = 196 Divide each side by '14'. x = 14 Simplifying x = 14
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