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Simplifying 4x + -24 = -6(x + -6) Reorder the terms: -24 + 4x = -6(x + -6) Reorder the terms: -24 + 4x = -6(-6 + x) -24 + 4x = (-6 * -6 + x * -6) -24 + 4x = (36 + -6x) Solving -24 + 4x = 36 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -24 + 4x + 6x = 36 + -6x + 6x Combine like terms: 4x + 6x = 10x -24 + 10x = 36 + -6x + 6x Combine like terms: -6x + 6x = 0 -24 + 10x = 36 + 0 -24 + 10x = 36 Add '24' to each side of the equation. -24 + 24 + 10x = 36 + 24 Combine like terms: -24 + 24 = 0 0 + 10x = 36 + 24 10x = 36 + 24 Combine like terms: 36 + 24 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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