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Simplifying 4(6x + -9) = 3(12x + -8) Reorder the terms: 4(-9 + 6x) = 3(12x + -8) (-9 * 4 + 6x * 4) = 3(12x + -8) (-36 + 24x) = 3(12x + -8) Reorder the terms: -36 + 24x = 3(-8 + 12x) -36 + 24x = (-8 * 3 + 12x * 3) -36 + 24x = (-24 + 36x) Solving -36 + 24x = -24 + 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. -36 + 24x + -36x = -24 + 36x + -36x Combine like terms: 24x + -36x = -12x -36 + -12x = -24 + 36x + -36x Combine like terms: 36x + -36x = 0 -36 + -12x = -24 + 0 -36 + -12x = -24 Add '36' to each side of the equation. -36 + 36 + -12x = -24 + 36 Combine like terms: -36 + 36 = 0 0 + -12x = -24 + 36 -12x = -24 + 36 Combine like terms: -24 + 36 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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