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Simplifying 3x + 6(2x + -4) = -6 + -3x Reorder the terms: 3x + 6(-4 + 2x) = -6 + -3x 3x + (-4 * 6 + 2x * 6) = -6 + -3x 3x + (-24 + 12x) = -6 + -3x Reorder the terms: -24 + 3x + 12x = -6 + -3x Combine like terms: 3x + 12x = 15x -24 + 15x = -6 + -3x Solving -24 + 15x = -6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -24 + 15x + 3x = -6 + -3x + 3x Combine like terms: 15x + 3x = 18x -24 + 18x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 -24 + 18x = -6 + 0 -24 + 18x = -6 Add '24' to each side of the equation. -24 + 24 + 18x = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 18x = -6 + 24 18x = -6 + 24 Combine like terms: -6 + 24 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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