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Simplifying 3(2x + 1) = 2(1 + -1x) + 9 Reorder the terms: 3(1 + 2x) = 2(1 + -1x) + 9 (1 * 3 + 2x * 3) = 2(1 + -1x) + 9 (3 + 6x) = 2(1 + -1x) + 9 3 + 6x = (1 * 2 + -1x * 2) + 9 3 + 6x = (2 + -2x) + 9 Reorder the terms: 3 + 6x = 2 + 9 + -2x Combine like terms: 2 + 9 = 11 3 + 6x = 11 + -2x Solving 3 + 6x = 11 + -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. 3 + 6x + 2x = 11 + -2x + 2x Combine like terms: 6x + 2x = 8x 3 + 8x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 8x = 11 + 0 3 + 8x = 11 Add '-3' to each side of the equation. 3 + -3 + 8x = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 11 + -3 8x = 11 + -3 Combine like terms: 11 + -3 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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