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Simplifying -11(x + 8) = -3(x + 24) Reorder the terms: -11(8 + x) = -3(x + 24) (8 * -11 + x * -11) = -3(x + 24) (-88 + -11x) = -3(x + 24) Reorder the terms: -88 + -11x = -3(24 + x) -88 + -11x = (24 * -3 + x * -3) -88 + -11x = (-72 + -3x) Solving -88 + -11x = -72 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -88 + -11x + 3x = -72 + -3x + 3x Combine like terms: -11x + 3x = -8x -88 + -8x = -72 + -3x + 3x Combine like terms: -3x + 3x = 0 -88 + -8x = -72 + 0 -88 + -8x = -72 Add '88' to each side of the equation. -88 + 88 + -8x = -72 + 88 Combine like terms: -88 + 88 = 0 0 + -8x = -72 + 88 -8x = -72 + 88 Combine like terms: -72 + 88 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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