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Simplifying -5x + 26 = 2(2x + 1) + 6 Reorder the terms: 26 + -5x = 2(2x + 1) + 6 Reorder the terms: 26 + -5x = 2(1 + 2x) + 6 26 + -5x = (1 * 2 + 2x * 2) + 6 26 + -5x = (2 + 4x) + 6 Reorder the terms: 26 + -5x = 2 + 6 + 4x Combine like terms: 2 + 6 = 8 26 + -5x = 8 + 4x Solving 26 + -5x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 26 + -5x + -4x = 8 + 4x + -4x Combine like terms: -5x + -4x = -9x 26 + -9x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 26 + -9x = 8 + 0 26 + -9x = 8 Add '-26' to each side of the equation. 26 + -26 + -9x = 8 + -26 Combine like terms: 26 + -26 = 0 0 + -9x = 8 + -26 -9x = 8 + -26 Combine like terms: 8 + -26 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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