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Simplifying 8(4x + -1) = 11(2x + -6) Reorder the terms: 8(-1 + 4x) = 11(2x + -6) (-1 * 8 + 4x * 8) = 11(2x + -6) (-8 + 32x) = 11(2x + -6) Reorder the terms: -8 + 32x = 11(-6 + 2x) -8 + 32x = (-6 * 11 + 2x * 11) -8 + 32x = (-66 + 22x) Solving -8 + 32x = -66 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -8 + 32x + -22x = -66 + 22x + -22x Combine like terms: 32x + -22x = 10x -8 + 10x = -66 + 22x + -22x Combine like terms: 22x + -22x = 0 -8 + 10x = -66 + 0 -8 + 10x = -66 Add '8' to each side of the equation. -8 + 8 + 10x = -66 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = -66 + 8 10x = -66 + 8 Combine like terms: -66 + 8 = -58 10x = -58 Divide each side by '10'. x = -5.8 Simplifying x = -5.8
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