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