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Simplifying 11(x + -6) = 8x + -84 Reorder the terms: 11(-6 + x) = 8x + -84 (-6 * 11 + x * 11) = 8x + -84 (-66 + 11x) = 8x + -84 Reorder the terms: -66 + 11x = -84 + 8x Solving -66 + 11x = -84 + 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. -66 + 11x + -8x = -84 + 8x + -8x Combine like terms: 11x + -8x = 3x -66 + 3x = -84 + 8x + -8x Combine like terms: 8x + -8x = 0 -66 + 3x = -84 + 0 -66 + 3x = -84 Add '66' to each side of the equation. -66 + 66 + 3x = -84 + 66 Combine like terms: -66 + 66 = 0 0 + 3x = -84 + 66 3x = -84 + 66 Combine like terms: -84 + 66 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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