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Simplifying 2(2x + 3) + -2 = 14 + 6x Reorder the terms: 2(3 + 2x) + -2 = 14 + 6x (3 * 2 + 2x * 2) + -2 = 14 + 6x (6 + 4x) + -2 = 14 + 6x Reorder the terms: 6 + -2 + 4x = 14 + 6x Combine like terms: 6 + -2 = 4 4 + 4x = 14 + 6x Solving 4 + 4x = 14 + 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. 4 + 4x + -6x = 14 + 6x + -6x Combine like terms: 4x + -6x = -2x 4 + -2x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -2x = 14 + 0 4 + -2x = 14 Add '-4' to each side of the equation. 4 + -4 + -2x = 14 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 14 + -4 -2x = 14 + -4 Combine like terms: 14 + -4 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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