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Simplifying 2(2x + 6) + 7 = 3 + 2x Reorder the terms: 2(6 + 2x) + 7 = 3 + 2x (6 * 2 + 2x * 2) + 7 = 3 + 2x (12 + 4x) + 7 = 3 + 2x Reorder the terms: 12 + 7 + 4x = 3 + 2x Combine like terms: 12 + 7 = 19 19 + 4x = 3 + 2x Solving 19 + 4x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 19 + 4x + -2x = 3 + 2x + -2x Combine like terms: 4x + -2x = 2x 19 + 2x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 19 + 2x = 3 + 0 19 + 2x = 3 Add '-19' to each side of the equation. 19 + -19 + 2x = 3 + -19 Combine like terms: 19 + -19 = 0 0 + 2x = 3 + -19 2x = 3 + -19 Combine like terms: 3 + -19 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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