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Simplifying 3(x + 2) = 2(10 + -1x) + 11 Reorder the terms: 3(2 + x) = 2(10 + -1x) + 11 (2 * 3 + x * 3) = 2(10 + -1x) + 11 (6 + 3x) = 2(10 + -1x) + 11 6 + 3x = (10 * 2 + -1x * 2) + 11 6 + 3x = (20 + -2x) + 11 Reorder the terms: 6 + 3x = 20 + 11 + -2x Combine like terms: 20 + 11 = 31 6 + 3x = 31 + -2x Solving 6 + 3x = 31 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + 3x + 2x = 31 + -2x + 2x Combine like terms: 3x + 2x = 5x 6 + 5x = 31 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 5x = 31 + 0 6 + 5x = 31 Add '-6' to each side of the equation. 6 + -6 + 5x = 31 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 31 + -6 5x = 31 + -6 Combine like terms: 31 + -6 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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