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Simplifying 6x + 24 = -9(x + -6) Reorder the terms: 24 + 6x = -9(x + -6) Reorder the terms: 24 + 6x = -9(-6 + x) 24 + 6x = (-6 * -9 + x * -9) 24 + 6x = (54 + -9x) Solving 24 + 6x = 54 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 24 + 6x + 9x = 54 + -9x + 9x Combine like terms: 6x + 9x = 15x 24 + 15x = 54 + -9x + 9x Combine like terms: -9x + 9x = 0 24 + 15x = 54 + 0 24 + 15x = 54 Add '-24' to each side of the equation. 24 + -24 + 15x = 54 + -24 Combine like terms: 24 + -24 = 0 0 + 15x = 54 + -24 15x = 54 + -24 Combine like terms: 54 + -24 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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