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Simplifying -8(4 + 9x) = 8(-2 + -11x) (4 * -8 + 9x * -8) = 8(-2 + -11x) (-32 + -72x) = 8(-2 + -11x) -32 + -72x = (-2 * 8 + -11x * 8) -32 + -72x = (-16 + -88x) Solving -32 + -72x = -16 + -88x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '88x' to each side of the equation. -32 + -72x + 88x = -16 + -88x + 88x Combine like terms: -72x + 88x = 16x -32 + 16x = -16 + -88x + 88x Combine like terms: -88x + 88x = 0 -32 + 16x = -16 + 0 -32 + 16x = -16 Add '32' to each side of the equation. -32 + 32 + 16x = -16 + 32 Combine like terms: -32 + 32 = 0 0 + 16x = -16 + 32 16x = -16 + 32 Combine like terms: -16 + 32 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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