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Simplifying 2(4x + -11) + 8 = 5x + 4 Reorder the terms: 2(-11 + 4x) + 8 = 5x + 4 (-11 * 2 + 4x * 2) + 8 = 5x + 4 (-22 + 8x) + 8 = 5x + 4 Reorder the terms: -22 + 8 + 8x = 5x + 4 Combine like terms: -22 + 8 = -14 -14 + 8x = 5x + 4 Reorder the terms: -14 + 8x = 4 + 5x Solving -14 + 8x = 4 + 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. -14 + 8x + -5x = 4 + 5x + -5x Combine like terms: 8x + -5x = 3x -14 + 3x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + 3x = 4 + 0 -14 + 3x = 4 Add '14' to each side of the equation. -14 + 14 + 3x = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 4 + 14 3x = 4 + 14 Combine like terms: 4 + 14 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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