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Simplifying 2(3x + 5) + -11 = 5x + 12 Reorder the terms: 2(5 + 3x) + -11 = 5x + 12 (5 * 2 + 3x * 2) + -11 = 5x + 12 (10 + 6x) + -11 = 5x + 12 Reorder the terms: 10 + -11 + 6x = 5x + 12 Combine like terms: 10 + -11 = -1 -1 + 6x = 5x + 12 Reorder the terms: -1 + 6x = 12 + 5x Solving -1 + 6x = 12 + 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. -1 + 6x + -5x = 12 + 5x + -5x Combine like terms: 6x + -5x = 1x -1 + 1x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + 1x = 12 + 0 -1 + 1x = 12 Add '1' to each side of the equation. -1 + 1 + 1x = 12 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 12 + 1 1x = 12 + 1 Combine like terms: 12 + 1 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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