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Simplifying 3(4x + -8) = 4(2x + -9) Reorder the terms: 3(-8 + 4x) = 4(2x + -9) (-8 * 3 + 4x * 3) = 4(2x + -9) (-24 + 12x) = 4(2x + -9) Reorder the terms: -24 + 12x = 4(-9 + 2x) -24 + 12x = (-9 * 4 + 2x * 4) -24 + 12x = (-36 + 8x) Solving -24 + 12x = -36 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -24 + 12x + -8x = -36 + 8x + -8x Combine like terms: 12x + -8x = 4x -24 + 4x = -36 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + 4x = -36 + 0 -24 + 4x = -36 Add '24' to each side of the equation. -24 + 24 + 4x = -36 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = -36 + 24 4x = -36 + 24 Combine like terms: -36 + 24 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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