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Simplifying 6 + -4x = x + 7(x + 8) Reorder the terms: 6 + -4x = x + 7(8 + x) 6 + -4x = x + (8 * 7 + x * 7) 6 + -4x = x + (56 + 7x) Reorder the terms: 6 + -4x = 56 + x + 7x Combine like terms: x + 7x = 8x 6 + -4x = 56 + 8x Solving 6 + -4x = 56 + 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. 6 + -4x + -8x = 56 + 8x + -8x Combine like terms: -4x + -8x = -12x 6 + -12x = 56 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -12x = 56 + 0 6 + -12x = 56 Add '-6' to each side of the equation. 6 + -6 + -12x = 56 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = 56 + -6 -12x = 56 + -6 Combine like terms: 56 + -6 = 50 -12x = 50 Divide each side by '-12'. x = -4.166666667 Simplifying x = -4.166666667
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