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Simplifying 3(2x + 1) + -4(x + -2) = 2 Reorder the terms: 3(1 + 2x) + -4(x + -2) = 2 (1 * 3 + 2x * 3) + -4(x + -2) = 2 (3 + 6x) + -4(x + -2) = 2 Reorder the terms: 3 + 6x + -4(-2 + x) = 2 3 + 6x + (-2 * -4 + x * -4) = 2 3 + 6x + (8 + -4x) = 2 Reorder the terms: 3 + 8 + 6x + -4x = 2 Combine like terms: 3 + 8 = 11 11 + 6x + -4x = 2 Combine like terms: 6x + -4x = 2x 11 + 2x = 2 Solving 11 + 2x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2x = 2 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 2 + -11 2x = 2 + -11 Combine like terms: 2 + -11 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5
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