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Simplifying 11(2x + -8) = -4(7 + -3x) Reorder the terms: 11(-8 + 2x) = -4(7 + -3x) (-8 * 11 + 2x * 11) = -4(7 + -3x) (-88 + 22x) = -4(7 + -3x) -88 + 22x = (7 * -4 + -3x * -4) -88 + 22x = (-28 + 12x) Solving -88 + 22x = -28 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -88 + 22x + -12x = -28 + 12x + -12x Combine like terms: 22x + -12x = 10x -88 + 10x = -28 + 12x + -12x Combine like terms: 12x + -12x = 0 -88 + 10x = -28 + 0 -88 + 10x = -28 Add '88' to each side of the equation. -88 + 88 + 10x = -28 + 88 Combine like terms: -88 + 88 = 0 0 + 10x = -28 + 88 10x = -28 + 88 Combine like terms: -28 + 88 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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