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Simplifying -8(x + 4) + 3x + 6 = 7x + 6 Reorder the terms: -8(4 + x) + 3x + 6 = 7x + 6 (4 * -8 + x * -8) + 3x + 6 = 7x + 6 (-32 + -8x) + 3x + 6 = 7x + 6 Reorder the terms: -32 + 6 + -8x + 3x = 7x + 6 Combine like terms: -32 + 6 = -26 -26 + -8x + 3x = 7x + 6 Combine like terms: -8x + 3x = -5x -26 + -5x = 7x + 6 Reorder the terms: -26 + -5x = 6 + 7x Solving -26 + -5x = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -26 + -5x + -7x = 6 + 7x + -7x Combine like terms: -5x + -7x = -12x -26 + -12x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -26 + -12x = 6 + 0 -26 + -12x = 6 Add '26' to each side of the equation. -26 + 26 + -12x = 6 + 26 Combine like terms: -26 + 26 = 0 0 + -12x = 6 + 26 -12x = 6 + 26 Combine like terms: 6 + 26 = 32 -12x = 32 Divide each side by '-12'. x = -2.666666667 Simplifying x = -2.666666667
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