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Simplifying 2(x + -7) + 2(x + -5) + 12 = 180 Reorder the terms: 2(-7 + x) + 2(x + -5) + 12 = 180 (-7 * 2 + x * 2) + 2(x + -5) + 12 = 180 (-14 + 2x) + 2(x + -5) + 12 = 180 Reorder the terms: -14 + 2x + 2(-5 + x) + 12 = 180 -14 + 2x + (-5 * 2 + x * 2) + 12 = 180 -14 + 2x + (-10 + 2x) + 12 = 180 Reorder the terms: -14 + -10 + 12 + 2x + 2x = 180 Combine like terms: -14 + -10 = -24 -24 + 12 + 2x + 2x = 180 Combine like terms: -24 + 12 = -12 -12 + 2x + 2x = 180 Combine like terms: 2x + 2x = 4x -12 + 4x = 180 Solving -12 + 4x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 4x = 180 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 180 + 12 4x = 180 + 12 Combine like terms: 180 + 12 = 192 4x = 192 Divide each side by '4'. x = 48 Simplifying x = 48
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