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Simplifying 6 + 8(x + 6) = -4(x + -1) Reorder the terms: 6 + 8(6 + x) = -4(x + -1) 6 + (6 * 8 + x * 8) = -4(x + -1) 6 + (48 + 8x) = -4(x + -1) Combine like terms: 6 + 48 = 54 54 + 8x = -4(x + -1) Reorder the terms: 54 + 8x = -4(-1 + x) 54 + 8x = (-1 * -4 + x * -4) 54 + 8x = (4 + -4x) Solving 54 + 8x = 4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 54 + 8x + 4x = 4 + -4x + 4x Combine like terms: 8x + 4x = 12x 54 + 12x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 54 + 12x = 4 + 0 54 + 12x = 4 Add '-54' to each side of the equation. 54 + -54 + 12x = 4 + -54 Combine like terms: 54 + -54 = 0 0 + 12x = 4 + -54 12x = 4 + -54 Combine like terms: 4 + -54 = -50 12x = -50 Divide each side by '12'. x = -4.166666667 Simplifying x = -4.166666667
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