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Simplifying 2x + 8(x + 3) = 8(x + 2) + 10 Reorder the terms: 2x + 8(3 + x) = 8(x + 2) + 10 2x + (3 * 8 + x * 8) = 8(x + 2) + 10 2x + (24 + 8x) = 8(x + 2) + 10 Reorder the terms: 24 + 2x + 8x = 8(x + 2) + 10 Combine like terms: 2x + 8x = 10x 24 + 10x = 8(x + 2) + 10 Reorder the terms: 24 + 10x = 8(2 + x) + 10 24 + 10x = (2 * 8 + x * 8) + 10 24 + 10x = (16 + 8x) + 10 Reorder the terms: 24 + 10x = 16 + 10 + 8x Combine like terms: 16 + 10 = 26 24 + 10x = 26 + 8x Solving 24 + 10x = 26 + 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. 24 + 10x + -8x = 26 + 8x + -8x Combine like terms: 10x + -8x = 2x 24 + 2x = 26 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + 2x = 26 + 0 24 + 2x = 26 Add '-24' to each side of the equation. 24 + -24 + 2x = 26 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 26 + -24 2x = 26 + -24 Combine like terms: 26 + -24 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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