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Simplifying -8(x + 4) + 4x + 5 = 5x + 11 Reorder the terms: -8(4 + x) + 4x + 5 = 5x + 11 (4 * -8 + x * -8) + 4x + 5 = 5x + 11 (-32 + -8x) + 4x + 5 = 5x + 11 Reorder the terms: -32 + 5 + -8x + 4x = 5x + 11 Combine like terms: -32 + 5 = -27 -27 + -8x + 4x = 5x + 11 Combine like terms: -8x + 4x = -4x -27 + -4x = 5x + 11 Reorder the terms: -27 + -4x = 11 + 5x Solving -27 + -4x = 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. -27 + -4x + -5x = 11 + 5x + -5x Combine like terms: -4x + -5x = -9x -27 + -9x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 -27 + -9x = 11 + 0 -27 + -9x = 11 Add '27' to each side of the equation. -27 + 27 + -9x = 11 + 27 Combine like terms: -27 + 27 = 0 0 + -9x = 11 + 27 -9x = 11 + 27 Combine like terms: 11 + 27 = 38 -9x = 38 Divide each side by '-9'. x = -4.222222222 Simplifying x = -4.222222222
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