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