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Simplifying 3(x + -2) = 4(3x + -6) Reorder the terms: 3(-2 + x) = 4(3x + -6) (-2 * 3 + x * 3) = 4(3x + -6) (-6 + 3x) = 4(3x + -6) Reorder the terms: -6 + 3x = 4(-6 + 3x) -6 + 3x = (-6 * 4 + 3x * 4) -6 + 3x = (-24 + 12x) Solving -6 + 3x = -24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 3x + -12x = -24 + 12x + -12x Combine like terms: 3x + -12x = -9x -6 + -9x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -9x = -24 + 0 -6 + -9x = -24 Add '6' to each side of the equation. -6 + 6 + -9x = -24 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = -24 + 6 -9x = -24 + 6 Combine like terms: -24 + 6 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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