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Simplifying 6(x + -1) + 12 = 5(x + 2) + 11 Reorder the terms: 6(-1 + x) + 12 = 5(x + 2) + 11 (-1 * 6 + x * 6) + 12 = 5(x + 2) + 11 (-6 + 6x) + 12 = 5(x + 2) + 11 Reorder the terms: -6 + 12 + 6x = 5(x + 2) + 11 Combine like terms: -6 + 12 = 6 6 + 6x = 5(x + 2) + 11 Reorder the terms: 6 + 6x = 5(2 + x) + 11 6 + 6x = (2 * 5 + x * 5) + 11 6 + 6x = (10 + 5x) + 11 Reorder the terms: 6 + 6x = 10 + 11 + 5x Combine like terms: 10 + 11 = 21 6 + 6x = 21 + 5x Solving 6 + 6x = 21 + 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. 6 + 6x + -5x = 21 + 5x + -5x Combine like terms: 6x + -5x = 1x 6 + 1x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 1x = 21 + 0 6 + 1x = 21 Add '-6' to each side of the equation. 6 + -6 + 1x = 21 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 21 + -6 1x = 21 + -6 Combine like terms: 21 + -6 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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