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Simplifying -7(x + 4) + 3x + 6 = 8x + 7 Reorder the terms: -7(4 + x) + 3x + 6 = 8x + 7 (4 * -7 + x * -7) + 3x + 6 = 8x + 7 (-28 + -7x) + 3x + 6 = 8x + 7 Reorder the terms: -28 + 6 + -7x + 3x = 8x + 7 Combine like terms: -28 + 6 = -22 -22 + -7x + 3x = 8x + 7 Combine like terms: -7x + 3x = -4x -22 + -4x = 8x + 7 Reorder the terms: -22 + -4x = 7 + 8x Solving -22 + -4x = 7 + 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. -22 + -4x + -8x = 7 + 8x + -8x Combine like terms: -4x + -8x = -12x -22 + -12x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 -22 + -12x = 7 + 0 -22 + -12x = 7 Add '22' to each side of the equation. -22 + 22 + -12x = 7 + 22 Combine like terms: -22 + 22 = 0 0 + -12x = 7 + 22 -12x = 7 + 22 Combine like terms: 7 + 22 = 29 -12x = 29 Divide each side by '-12'. x = -2.416666667 Simplifying x = -2.416666667
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