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Simplifying 6(x + -4) = -3(x + -4) Reorder the terms: 6(-4 + x) = -3(x + -4) (-4 * 6 + x * 6) = -3(x + -4) (-24 + 6x) = -3(x + -4) Reorder the terms: -24 + 6x = -3(-4 + x) -24 + 6x = (-4 * -3 + x * -3) -24 + 6x = (12 + -3x) Solving -24 + 6x = 12 + -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 = 12 + -3x + 3x Combine like terms: 6x + 3x = 9x -24 + 9x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -24 + 9x = 12 + 0 -24 + 9x = 12 Add '24' to each side of the equation. -24 + 24 + 9x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 9x = 12 + 24 9x = 12 + 24 Combine like terms: 12 + 24 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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