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Simplifying -8(x + 2) + 4x + 7 = 8x + 11 Reorder the terms: -8(2 + x) + 4x + 7 = 8x + 11 (2 * -8 + x * -8) + 4x + 7 = 8x + 11 (-16 + -8x) + 4x + 7 = 8x + 11 Reorder the terms: -16 + 7 + -8x + 4x = 8x + 11 Combine like terms: -16 + 7 = -9 -9 + -8x + 4x = 8x + 11 Combine like terms: -8x + 4x = -4x -9 + -4x = 8x + 11 Reorder the terms: -9 + -4x = 11 + 8x Solving -9 + -4x = 11 + 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. -9 + -4x + -8x = 11 + 8x + -8x Combine like terms: -4x + -8x = -12x -9 + -12x = 11 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + -12x = 11 + 0 -9 + -12x = 11 Add '9' to each side of the equation. -9 + 9 + -12x = 11 + 9 Combine like terms: -9 + 9 = 0 0 + -12x = 11 + 9 -12x = 11 + 9 Combine like terms: 11 + 9 = 20 -12x = 20 Divide each side by '-12'. x = -1.666666667 Simplifying x = -1.666666667
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