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Simplifying 7(x + 2) + -12 = 5(x + 2) + -12 + 16 Reorder the terms: 7(2 + x) + -12 = 5(x + 2) + -12 + 16 (2 * 7 + x * 7) + -12 = 5(x + 2) + -12 + 16 (14 + 7x) + -12 = 5(x + 2) + -12 + 16 Reorder the terms: 14 + -12 + 7x = 5(x + 2) + -12 + 16 Combine like terms: 14 + -12 = 2 2 + 7x = 5(x + 2) + -12 + 16 Reorder the terms: 2 + 7x = 5(2 + x) + -12 + 16 2 + 7x = (2 * 5 + x * 5) + -12 + 16 2 + 7x = (10 + 5x) + -12 + 16 Reorder the terms: 2 + 7x = 10 + -12 + 16 + 5x Combine like terms: 10 + -12 = -2 2 + 7x = -2 + 16 + 5x Combine like terms: -2 + 16 = 14 2 + 7x = 14 + 5x Solving 2 + 7x = 14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + 7x + -5x = 14 + 5x + -5x Combine like terms: 7x + -5x = 2x 2 + 2x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 2x = 14 + 0 2 + 2x = 14 Add '-2' to each side of the equation. 2 + -2 + 2x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 14 + -2 2x = 14 + -2 Combine like terms: 14 + -2 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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