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Simplifying 3(x + 8) + 5x = 2(12 + -4x) Reorder the terms: 3(8 + x) + 5x = 2(12 + -4x) (8 * 3 + x * 3) + 5x = 2(12 + -4x) (24 + 3x) + 5x = 2(12 + -4x) Combine like terms: 3x + 5x = 8x 24 + 8x = 2(12 + -4x) 24 + 8x = (12 * 2 + -4x * 2) 24 + 8x = (24 + -8x) Add '-24' to each side of the equation. 24 + -24 + 8x = 24 + -24 + -8x Combine like terms: 24 + -24 = 0 0 + 8x = 24 + -24 + -8x 8x = 24 + -24 + -8x Combine like terms: 24 + -24 = 0 8x = 0 + -8x 8x = -8x Solving 8x = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 8x + 8x = -8x + 8x Combine like terms: 8x + 8x = 16x 16x = -8x + 8x Combine like terms: -8x + 8x = 0 16x = 0 Divide each side by '16'. x = 0 Simplifying x = 0
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