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Simplifying 4(3x + -6) = 9x + -9 Reorder the terms: 4(-6 + 3x) = 9x + -9 (-6 * 4 + 3x * 4) = 9x + -9 (-24 + 12x) = 9x + -9 Reorder the terms: -24 + 12x = -9 + 9x Solving -24 + 12x = -9 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -24 + 12x + -9x = -9 + 9x + -9x Combine like terms: 12x + -9x = 3x -24 + 3x = -9 + 9x + -9x Combine like terms: 9x + -9x = 0 -24 + 3x = -9 + 0 -24 + 3x = -9 Add '24' to each side of the equation. -24 + 24 + 3x = -9 + 24 Combine like terms: -24 + 24 = 0 0 + 3x = -9 + 24 3x = -9 + 24 Combine like terms: -9 + 24 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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