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Simplifying 3(3x + 8) = 8 + -2(x + -8) Reorder the terms: 3(8 + 3x) = 8 + -2(x + -8) (8 * 3 + 3x * 3) = 8 + -2(x + -8) (24 + 9x) = 8 + -2(x + -8) Reorder the terms: 24 + 9x = 8 + -2(-8 + x) 24 + 9x = 8 + (-8 * -2 + x * -2) 24 + 9x = 8 + (16 + -2x) Combine like terms: 8 + 16 = 24 24 + 9x = 24 + -2x Add '-24' to each side of the equation. 24 + -24 + 9x = 24 + -24 + -2x Combine like terms: 24 + -24 = 0 0 + 9x = 24 + -24 + -2x 9x = 24 + -24 + -2x Combine like terms: 24 + -24 = 0 9x = 0 + -2x 9x = -2x Solving 9x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 9x + 2x = -2x + 2x Combine like terms: 9x + 2x = 11x 11x = -2x + 2x Combine like terms: -2x + 2x = 0 11x = 0 Divide each side by '11'. x = 0 Simplifying x = 0
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