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Simplifying 2(7 + 2x) = 3(x + 4) (7 * 2 + 2x * 2) = 3(x + 4) (14 + 4x) = 3(x + 4) Reorder the terms: 14 + 4x = 3(4 + x) 14 + 4x = (4 * 3 + x * 3) 14 + 4x = (12 + 3x) Solving 14 + 4x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 14 + 4x + -3x = 12 + 3x + -3x Combine like terms: 4x + -3x = 1x 14 + 1x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + 1x = 12 + 0 14 + 1x = 12 Add '-14' to each side of the equation. 14 + -14 + 1x = 12 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 12 + -14 1x = 12 + -14 Combine like terms: 12 + -14 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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