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Simplifying 2(x + 39) = 3(2x + 2) Reorder the terms: 2(39 + x) = 3(2x + 2) (39 * 2 + x * 2) = 3(2x + 2) (78 + 2x) = 3(2x + 2) Reorder the terms: 78 + 2x = 3(2 + 2x) 78 + 2x = (2 * 3 + 2x * 3) 78 + 2x = (6 + 6x) Solving 78 + 2x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 78 + 2x + -6x = 6 + 6x + -6x Combine like terms: 2x + -6x = -4x 78 + -4x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 78 + -4x = 6 + 0 78 + -4x = 6 Add '-78' to each side of the equation. 78 + -78 + -4x = 6 + -78 Combine like terms: 78 + -78 = 0 0 + -4x = 6 + -78 -4x = 6 + -78 Combine like terms: 6 + -78 = -72 -4x = -72 Divide each side by '-4'. x = 18 Simplifying x = 18
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