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Simplifying 3(2x + 1) + -2(x + -2) = 23 Reorder the terms: 3(1 + 2x) + -2(x + -2) = 23 (1 * 3 + 2x * 3) + -2(x + -2) = 23 (3 + 6x) + -2(x + -2) = 23 Reorder the terms: 3 + 6x + -2(-2 + x) = 23 3 + 6x + (-2 * -2 + x * -2) = 23 3 + 6x + (4 + -2x) = 23 Reorder the terms: 3 + 4 + 6x + -2x = 23 Combine like terms: 3 + 4 = 7 7 + 6x + -2x = 23 Combine like terms: 6x + -2x = 4x 7 + 4x = 23 Solving 7 + 4x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4x = 23 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 23 + -7 4x = 23 + -7 Combine like terms: 23 + -7 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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