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Simplifying 3(2x + 1) + 2(x + -1) = 23 Reorder the terms: 3(1 + 2x) + 2(x + -1) = 23 (1 * 3 + 2x * 3) + 2(x + -1) = 23 (3 + 6x) + 2(x + -1) = 23 Reorder the terms: 3 + 6x + 2(-1 + x) = 23 3 + 6x + (-1 * 2 + x * 2) = 23 3 + 6x + (-2 + 2x) = 23 Reorder the terms: 3 + -2 + 6x + 2x = 23 Combine like terms: 3 + -2 = 1 1 + 6x + 2x = 23 Combine like terms: 6x + 2x = 8x 1 + 8x = 23 Solving 1 + 8x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 8x = 23 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 23 + -1 8x = 23 + -1 Combine like terms: 23 + -1 = 22 8x = 22 Divide each side by '8'. x = 2.75 Simplifying x = 2.75
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