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Simplifying 3(2x + 1) = 4x + 11 + -2x Reorder the terms: 3(1 + 2x) = 4x + 11 + -2x (1 * 3 + 2x * 3) = 4x + 11 + -2x (3 + 6x) = 4x + 11 + -2x Reorder the terms: 3 + 6x = 11 + 4x + -2x Combine like terms: 4x + -2x = 2x 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 = 4x 3 + 4x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 4x = 11 + 0 3 + 4x = 11 Add '-3' to each side of the equation. 3 + -3 + 4x = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 11 + -3 4x = 11 + -3 Combine like terms: 11 + -3 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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