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Simplifying 2(3x + 1) + -4x = 26 + -2x Reorder the terms: 2(1 + 3x) + -4x = 26 + -2x (1 * 2 + 3x * 2) + -4x = 26 + -2x (2 + 6x) + -4x = 26 + -2x Combine like terms: 6x + -4x = 2x 2 + 2x = 26 + -2x Solving 2 + 2x = 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. 2 + 2x + 2x = 26 + -2x + 2x Combine like terms: 2x + 2x = 4x 2 + 4x = 26 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 4x = 26 + 0 2 + 4x = 26 Add '-2' to each side of the equation. 2 + -2 + 4x = 26 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 26 + -2 4x = 26 + -2 Combine like terms: 26 + -2 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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