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Simplifying 6(x + 2) = 5(x + 4) + 2 Reorder the terms: 6(2 + x) = 5(x + 4) + 2 (2 * 6 + x * 6) = 5(x + 4) + 2 (12 + 6x) = 5(x + 4) + 2 Reorder the terms: 12 + 6x = 5(4 + x) + 2 12 + 6x = (4 * 5 + x * 5) + 2 12 + 6x = (20 + 5x) + 2 Reorder the terms: 12 + 6x = 20 + 2 + 5x Combine like terms: 20 + 2 = 22 12 + 6x = 22 + 5x Solving 12 + 6x = 22 + 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. 12 + 6x + -5x = 22 + 5x + -5x Combine like terms: 6x + -5x = 1x 12 + 1x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 1x = 22 + 0 12 + 1x = 22 Add '-12' to each side of the equation. 12 + -12 + 1x = 22 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 22 + -12 1x = 22 + -12 Combine like terms: 22 + -12 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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