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Simplifying 3(x + 8) + 5x = 2(12 + x) Reorder the terms: 3(8 + x) + 5x = 2(12 + x) (8 * 3 + x * 3) + 5x = 2(12 + x) (24 + 3x) + 5x = 2(12 + x) Combine like terms: 3x + 5x = 8x 24 + 8x = 2(12 + x) 24 + 8x = (12 * 2 + x * 2) 24 + 8x = (24 + 2x) Add '-24' to each side of the equation. 24 + -24 + 8x = 24 + -24 + 2x Combine like terms: 24 + -24 = 0 0 + 8x = 24 + -24 + 2x 8x = 24 + -24 + 2x Combine like terms: 24 + -24 = 0 8x = 0 + 2x 8x = 2x Solving 8x = 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. 8x + -2x = 2x + -2x Combine like terms: 8x + -2x = 6x 6x = 2x + -2x Combine like terms: 2x + -2x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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