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Simplifying -4(x + 2) + 3(2x + 3) = 11 Reorder the terms: -4(2 + x) + 3(2x + 3) = 11 (2 * -4 + x * -4) + 3(2x + 3) = 11 (-8 + -4x) + 3(2x + 3) = 11 Reorder the terms: -8 + -4x + 3(3 + 2x) = 11 -8 + -4x + (3 * 3 + 2x * 3) = 11 -8 + -4x + (9 + 6x) = 11 Reorder the terms: -8 + 9 + -4x + 6x = 11 Combine like terms: -8 + 9 = 1 1 + -4x + 6x = 11 Combine like terms: -4x + 6x = 2x 1 + 2x = 11 Solving 1 + 2x = 11 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 + 2x = 11 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 11 + -1 2x = 11 + -1 Combine like terms: 11 + -1 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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