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Simplifying -8(x + 2) + 4x + 5 = 8x + 6 Reorder the terms: -8(2 + x) + 4x + 5 = 8x + 6 (2 * -8 + x * -8) + 4x + 5 = 8x + 6 (-16 + -8x) + 4x + 5 = 8x + 6 Reorder the terms: -16 + 5 + -8x + 4x = 8x + 6 Combine like terms: -16 + 5 = -11 -11 + -8x + 4x = 8x + 6 Combine like terms: -8x + 4x = -4x -11 + -4x = 8x + 6 Reorder the terms: -11 + -4x = 6 + 8x Solving -11 + -4x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -11 + -4x + -8x = 6 + 8x + -8x Combine like terms: -4x + -8x = -12x -11 + -12x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 -11 + -12x = 6 + 0 -11 + -12x = 6 Add '11' to each side of the equation. -11 + 11 + -12x = 6 + 11 Combine like terms: -11 + 11 = 0 0 + -12x = 6 + 11 -12x = 6 + 11 Combine like terms: 6 + 11 = 17 -12x = 17 Divide each side by '-12'. x = -1.416666667 Simplifying x = -1.416666667
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