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Simplifying x + 12 + 2(x + 12) + x + 12 + 46 = 180 Reorder the terms: x + 12 + 2(12 + x) + x + 12 + 46 = 180 x + 12 + (12 * 2 + x * 2) + x + 12 + 46 = 180 x + 12 + (24 + 2x) + x + 12 + 46 = 180 Reorder the terms: 12 + 24 + 12 + 46 + x + 2x + x = 180 Combine like terms: 12 + 24 = 36 36 + 12 + 46 + x + 2x + x = 180 Combine like terms: 36 + 12 = 48 48 + 46 + x + 2x + x = 180 Combine like terms: 48 + 46 = 94 94 + x + 2x + x = 180 Combine like terms: x + 2x = 3x 94 + 3x + x = 180 Combine like terms: 3x + x = 4x 94 + 4x = 180 Solving 94 + 4x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-94' to each side of the equation. 94 + -94 + 4x = 180 + -94 Combine like terms: 94 + -94 = 0 0 + 4x = 180 + -94 4x = 180 + -94 Combine like terms: 180 + -94 = 86 4x = 86 Divide each side by '4'. x = 21.5 Simplifying x = 21.5
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