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Simplifying 6x + 26 = 4(x + 3) Reorder the terms: 26 + 6x = 4(x + 3) Reorder the terms: 26 + 6x = 4(3 + x) 26 + 6x = (3 * 4 + x * 4) 26 + 6x = (12 + 4x) Solving 26 + 6x = 12 + 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 + 6x + -4x = 12 + 4x + -4x Combine like terms: 6x + -4x = 2x 26 + 2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 26 + 2x = 12 + 0 26 + 2x = 12 Add '-26' to each side of the equation. 26 + -26 + 2x = 12 + -26 Combine like terms: 26 + -26 = 0 0 + 2x = 12 + -26 2x = 12 + -26 Combine like terms: 12 + -26 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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