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Simplifying 2(x + 7) = 3(2x + 6) Reorder the terms: 2(7 + x) = 3(2x + 6) (7 * 2 + x * 2) = 3(2x + 6) (14 + 2x) = 3(2x + 6) Reorder the terms: 14 + 2x = 3(6 + 2x) 14 + 2x = (6 * 3 + 2x * 3) 14 + 2x = (18 + 6x) Solving 14 + 2x = 18 + 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. 14 + 2x + -6x = 18 + 6x + -6x Combine like terms: 2x + -6x = -4x 14 + -4x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + -4x = 18 + 0 14 + -4x = 18 Add '-14' to each side of the equation. 14 + -14 + -4x = 18 + -14 Combine like terms: 14 + -14 = 0 0 + -4x = 18 + -14 -4x = 18 + -14 Combine like terms: 18 + -14 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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