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Simplifying 2x + 26 = 4(x + 6) Reorder the terms: 26 + 2x = 4(x + 6) Reorder the terms: 26 + 2x = 4(6 + x) 26 + 2x = (6 * 4 + x * 4) 26 + 2x = (24 + 4x) Solving 26 + 2x = 24 + 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 + 2x + -4x = 24 + 4x + -4x Combine like terms: 2x + -4x = -2x 26 + -2x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 26 + -2x = 24 + 0 26 + -2x = 24 Add '-26' to each side of the equation. 26 + -26 + -2x = 24 + -26 Combine like terms: 26 + -26 = 0 0 + -2x = 24 + -26 -2x = 24 + -26 Combine like terms: 24 + -26 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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