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Simplifying 8(3x + -1) = 11(2x + -8) Reorder the terms: 8(-1 + 3x) = 11(2x + -8) (-1 * 8 + 3x * 8) = 11(2x + -8) (-8 + 24x) = 11(2x + -8) Reorder the terms: -8 + 24x = 11(-8 + 2x) -8 + 24x = (-8 * 11 + 2x * 11) -8 + 24x = (-88 + 22x) Solving -8 + 24x = -88 + 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 + 24x + -22x = -88 + 22x + -22x Combine like terms: 24x + -22x = 2x -8 + 2x = -88 + 22x + -22x Combine like terms: 22x + -22x = 0 -8 + 2x = -88 + 0 -8 + 2x = -88 Add '8' to each side of the equation. -8 + 8 + 2x = -88 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -88 + 8 2x = -88 + 8 Combine like terms: -88 + 8 = -80 2x = -80 Divide each side by '2'. x = -40 Simplifying x = -40
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