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Simplifying 14x + -2x + 7 = 2x + 17 Reorder the terms: 7 + 14x + -2x = 2x + 17 Combine like terms: 14x + -2x = 12x 7 + 12x = 2x + 17 Reorder the terms: 7 + 12x = 17 + 2x Solving 7 + 12x = 17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + 12x + -2x = 17 + 2x + -2x Combine like terms: 12x + -2x = 10x 7 + 10x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 10x = 17 + 0 7 + 10x = 17 Add '-7' to each side of the equation. 7 + -7 + 10x = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 10x = 17 + -7 10x = 17 + -7 Combine like terms: 17 + -7 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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