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Simplifying 2(x + 4) + 4(x + 3) = 14 Reorder the terms: 2(4 + x) + 4(x + 3) = 14 (4 * 2 + x * 2) + 4(x + 3) = 14 (8 + 2x) + 4(x + 3) = 14 Reorder the terms: 8 + 2x + 4(3 + x) = 14 8 + 2x + (3 * 4 + x * 4) = 14 8 + 2x + (12 + 4x) = 14 Reorder the terms: 8 + 12 + 2x + 4x = 14 Combine like terms: 8 + 12 = 20 20 + 2x + 4x = 14 Combine like terms: 2x + 4x = 6x 20 + 6x = 14 Solving 20 + 6x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 6x = 14 + -20 Combine like terms: 20 + -20 = 0 0 + 6x = 14 + -20 6x = 14 + -20 Combine like terms: 14 + -20 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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