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Simplifying 212 + 14x = 34x + 38 + 34x + -42 Reorder the terms: 212 + 14x = 38 + -42 + 34x + 34x Combine like terms: 38 + -42 = -4 212 + 14x = -4 + 34x + 34x Combine like terms: 34x + 34x = 68x 212 + 14x = -4 + 68x Solving 212 + 14x = -4 + 68x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-68x' to each side of the equation. 212 + 14x + -68x = -4 + 68x + -68x Combine like terms: 14x + -68x = -54x 212 + -54x = -4 + 68x + -68x Combine like terms: 68x + -68x = 0 212 + -54x = -4 + 0 212 + -54x = -4 Add '-212' to each side of the equation. 212 + -212 + -54x = -4 + -212 Combine like terms: 212 + -212 = 0 0 + -54x = -4 + -212 -54x = -4 + -212 Combine like terms: -4 + -212 = -216 -54x = -216 Divide each side by '-54'. x = 4 Simplifying x = 4
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