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Simplifying 4(6x + -8) = 9(-4x + -8) Reorder the terms: 4(-8 + 6x) = 9(-4x + -8) (-8 * 4 + 6x * 4) = 9(-4x + -8) (-32 + 24x) = 9(-4x + -8) Reorder the terms: -32 + 24x = 9(-8 + -4x) -32 + 24x = (-8 * 9 + -4x * 9) -32 + 24x = (-72 + -36x) Solving -32 + 24x = -72 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -32 + 24x + 36x = -72 + -36x + 36x Combine like terms: 24x + 36x = 60x -32 + 60x = -72 + -36x + 36x Combine like terms: -36x + 36x = 0 -32 + 60x = -72 + 0 -32 + 60x = -72 Add '32' to each side of the equation. -32 + 32 + 60x = -72 + 32 Combine like terms: -32 + 32 = 0 0 + 60x = -72 + 32 60x = -72 + 32 Combine like terms: -72 + 32 = -40 60x = -40 Divide each side by '60'. x = -0.6666666667 Simplifying x = -0.6666666667
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