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Simplifying x + -5 + 8x = -3(x + 8) + 2(1 + 4x) Reorder the terms: -5 + x + 8x = -3(x + 8) + 2(1 + 4x) Combine like terms: x + 8x = 9x -5 + 9x = -3(x + 8) + 2(1 + 4x) Reorder the terms: -5 + 9x = -3(8 + x) + 2(1 + 4x) -5 + 9x = (8 * -3 + x * -3) + 2(1 + 4x) -5 + 9x = (-24 + -3x) + 2(1 + 4x) -5 + 9x = -24 + -3x + (1 * 2 + 4x * 2) -5 + 9x = -24 + -3x + (2 + 8x) Reorder the terms: -5 + 9x = -24 + 2 + -3x + 8x Combine like terms: -24 + 2 = -22 -5 + 9x = -22 + -3x + 8x Combine like terms: -3x + 8x = 5x -5 + 9x = -22 + 5x Solving -5 + 9x = -22 + 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. -5 + 9x + -5x = -22 + 5x + -5x Combine like terms: 9x + -5x = 4x -5 + 4x = -22 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + 4x = -22 + 0 -5 + 4x = -22 Add '5' to each side of the equation. -5 + 5 + 4x = -22 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = -22 + 5 4x = -22 + 5 Combine like terms: -22 + 5 = -17 4x = -17 Divide each side by '4'. x = -4.25 Simplifying x = -4.25
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