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Simplifying 3x + 24 = -3(x + -6) Reorder the terms: 24 + 3x = -3(x + -6) Reorder the terms: 24 + 3x = -3(-6 + x) 24 + 3x = (-6 * -3 + x * -3) 24 + 3x = (18 + -3x) Solving 24 + 3x = 18 + -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 + 3x + 3x = 18 + -3x + 3x Combine like terms: 3x + 3x = 6x 24 + 6x = 18 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + 6x = 18 + 0 24 + 6x = 18 Add '-24' to each side of the equation. 24 + -24 + 6x = 18 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 18 + -24 6x = 18 + -24 Combine like terms: 18 + -24 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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