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Simplifying -6x + 4(3x + 6) = 26 + 4x Reorder the terms: -6x + 4(6 + 3x) = 26 + 4x -6x + (6 * 4 + 3x * 4) = 26 + 4x -6x + (24 + 12x) = 26 + 4x Reorder the terms: 24 + -6x + 12x = 26 + 4x Combine like terms: -6x + 12x = 6x 24 + 6x = 26 + 4x Solving 24 + 6x = 26 + 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. 24 + 6x + -4x = 26 + 4x + -4x Combine like terms: 6x + -4x = 2x 24 + 2x = 26 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + 2x = 26 + 0 24 + 2x = 26 Add '-24' to each side of the equation. 24 + -24 + 2x = 26 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 26 + -24 2x = 26 + -24 Combine like terms: 26 + -24 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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