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Simplifying 6(4x + -1) = 11(2x + -2) Reorder the terms: 6(-1 + 4x) = 11(2x + -2) (-1 * 6 + 4x * 6) = 11(2x + -2) (-6 + 24x) = 11(2x + -2) Reorder the terms: -6 + 24x = 11(-2 + 2x) -6 + 24x = (-2 * 11 + 2x * 11) -6 + 24x = (-22 + 22x) Solving -6 + 24x = -22 + 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. -6 + 24x + -22x = -22 + 22x + -22x Combine like terms: 24x + -22x = 2x -6 + 2x = -22 + 22x + -22x Combine like terms: 22x + -22x = 0 -6 + 2x = -22 + 0 -6 + 2x = -22 Add '6' to each side of the equation. -6 + 6 + 2x = -22 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -22 + 6 2x = -22 + 6 Combine like terms: -22 + 6 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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