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Simplifying 6[x + 1] + 12 = [x + 2] + 11 Reorder the terms: 6[1 + x] + 12 = [x + 2] + 11 [1 * 6 + x * 6] + 12 = [x + 2] + 11 [6 + 6x] + 12 = [x + 2] + 11 Reorder the terms: 6 + 12 + 6x = [x + 2] + 11 Combine like terms: 6 + 12 = 18 18 + 6x = [x + 2] + 11 Reorder the terms: 18 + 6x = [2 + x] + 11 Remove brackets around [2 + x] 18 + 6x = 2 + x + 11 Reorder the terms: 18 + 6x = 2 + 11 + x Combine like terms: 2 + 11 = 13 18 + 6x = 13 + x Solving 18 + 6x = 13 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 18 + 6x + -1x = 13 + x + -1x Combine like terms: 6x + -1x = 5x 18 + 5x = 13 + x + -1x Combine like terms: x + -1x = 0 18 + 5x = 13 + 0 18 + 5x = 13 Add '-18' to each side of the equation. 18 + -18 + 5x = 13 + -18 Combine like terms: 18 + -18 = 0 0 + 5x = 13 + -18 5x = 13 + -18 Combine like terms: 13 + -18 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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