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Simplifying 2(7x + 8) + -2x = 2x + 26 Reorder the terms: 2(8 + 7x) + -2x = 2x + 26 (8 * 2 + 7x * 2) + -2x = 2x + 26 (16 + 14x) + -2x = 2x + 26 Combine like terms: 14x + -2x = 12x 16 + 12x = 2x + 26 Reorder the terms: 16 + 12x = 26 + 2x Solving 16 + 12x = 26 + 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. 16 + 12x + -2x = 26 + 2x + -2x Combine like terms: 12x + -2x = 10x 16 + 10x = 26 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + 10x = 26 + 0 16 + 10x = 26 Add '-16' to each side of the equation. 16 + -16 + 10x = 26 + -16 Combine like terms: 16 + -16 = 0 0 + 10x = 26 + -16 10x = 26 + -16 Combine like terms: 26 + -16 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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