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Simplifying 3x + -24 = 3(4x + -2) Reorder the terms: -24 + 3x = 3(4x + -2) Reorder the terms: -24 + 3x = 3(-2 + 4x) -24 + 3x = (-2 * 3 + 4x * 3) -24 + 3x = (-6 + 12x) Solving -24 + 3x = -6 + 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. -24 + 3x + -12x = -6 + 12x + -12x Combine like terms: 3x + -12x = -9x -24 + -9x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 -24 + -9x = -6 + 0 -24 + -9x = -6 Add '24' to each side of the equation. -24 + 24 + -9x = -6 + 24 Combine like terms: -24 + 24 = 0 0 + -9x = -6 + 24 -9x = -6 + 24 Combine like terms: -6 + 24 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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