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Simplifying 3(5 + -2x) + 9 = -228 + 15x (5 * 3 + -2x * 3) + 9 = -228 + 15x (15 + -6x) + 9 = -228 + 15x Reorder the terms: 15 + 9 + -6x = -228 + 15x Combine like terms: 15 + 9 = 24 24 + -6x = -228 + 15x Solving 24 + -6x = -228 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 24 + -6x + -15x = -228 + 15x + -15x Combine like terms: -6x + -15x = -21x 24 + -21x = -228 + 15x + -15x Combine like terms: 15x + -15x = 0 24 + -21x = -228 + 0 24 + -21x = -228 Add '-24' to each side of the equation. 24 + -24 + -21x = -228 + -24 Combine like terms: 24 + -24 = 0 0 + -21x = -228 + -24 -21x = -228 + -24 Combine like terms: -228 + -24 = -252 -21x = -252 Divide each side by '-21'. x = 12 Simplifying x = 12
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