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Simplifying 2(4x + 3) + -4 = 3x + 11 + 2x Reorder the terms: 2(3 + 4x) + -4 = 3x + 11 + 2x (3 * 2 + 4x * 2) + -4 = 3x + 11 + 2x (6 + 8x) + -4 = 3x + 11 + 2x Reorder the terms: 6 + -4 + 8x = 3x + 11 + 2x Combine like terms: 6 + -4 = 2 2 + 8x = 3x + 11 + 2x Reorder the terms: 2 + 8x = 11 + 3x + 2x Combine like terms: 3x + 2x = 5x 2 + 8x = 11 + 5x Solving 2 + 8x = 11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + 8x + -5x = 11 + 5x + -5x Combine like terms: 8x + -5x = 3x 2 + 3x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 3x = 11 + 0 2 + 3x = 11 Add '-2' to each side of the equation. 2 + -2 + 3x = 11 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 11 + -2 3x = 11 + -2 Combine like terms: 11 + -2 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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