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Simplifying 2(6x + 6) + -8x = 2x + 26 Reorder the terms: 2(6 + 6x) + -8x = 2x + 26 (6 * 2 + 6x * 2) + -8x = 2x + 26 (12 + 12x) + -8x = 2x + 26 Combine like terms: 12x + -8x = 4x 12 + 4x = 2x + 26 Reorder the terms: 12 + 4x = 26 + 2x Solving 12 + 4x = 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. 12 + 4x + -2x = 26 + 2x + -2x Combine like terms: 4x + -2x = 2x 12 + 2x = 26 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 2x = 26 + 0 12 + 2x = 26 Add '-12' to each side of the equation. 12 + -12 + 2x = 26 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 26 + -12 2x = 26 + -12 Combine like terms: 26 + -12 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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