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