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Simplifying 2(2x + 26) = x + 22 Reorder the terms: 2(26 + 2x) = x + 22 (26 * 2 + 2x * 2) = x + 22 (52 + 4x) = x + 22 Reorder the terms: 52 + 4x = 22 + x Solving 52 + 4x = 22 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 52 + 4x + -1x = 22 + x + -1x Combine like terms: 4x + -1x = 3x 52 + 3x = 22 + x + -1x Combine like terms: x + -1x = 0 52 + 3x = 22 + 0 52 + 3x = 22 Add '-52' to each side of the equation. 52 + -52 + 3x = 22 + -52 Combine like terms: 52 + -52 = 0 0 + 3x = 22 + -52 3x = 22 + -52 Combine like terms: 22 + -52 = -30 3x = -30 Divide each side by '3'. x = -10 Simplifying x = -10
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