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Simplifying 12x + 4 + 34x + -18 + 10x + 22 = 288 Reorder the terms: 4 + -18 + 22 + 12x + 34x + 10x = 288 Combine like terms: 4 + -18 = -14 -14 + 22 + 12x + 34x + 10x = 288 Combine like terms: -14 + 22 = 8 8 + 12x + 34x + 10x = 288 Combine like terms: 12x + 34x = 46x 8 + 46x + 10x = 288 Combine like terms: 46x + 10x = 56x 8 + 56x = 288 Solving 8 + 56x = 288 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 56x = 288 + -8 Combine like terms: 8 + -8 = 0 0 + 56x = 288 + -8 56x = 288 + -8 Combine like terms: 288 + -8 = 280 56x = 280 Divide each side by '56'. x = 5 Simplifying x = 5
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