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Simplifying 6(2 + x) = 5(x + 1) (2 * 6 + x * 6) = 5(x + 1) (12 + 6x) = 5(x + 1) Reorder the terms: 12 + 6x = 5(1 + x) 12 + 6x = (1 * 5 + x * 5) 12 + 6x = (5 + 5x) Solving 12 + 6x = 5 + 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 = 5 + 5x + -5x Combine like terms: 6x + -5x = 1x 12 + 1x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 1x = 5 + 0 12 + 1x = 5 Add '-12' to each side of the equation. 12 + -12 + 1x = 5 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 5 + -12 1x = 5 + -12 Combine like terms: 5 + -12 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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