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Simplifying 8(1 + 4x) = x + 3(10x + 7) (1 * 8 + 4x * 8) = x + 3(10x + 7) (8 + 32x) = x + 3(10x + 7) Reorder the terms: 8 + 32x = x + 3(7 + 10x) 8 + 32x = x + (7 * 3 + 10x * 3) 8 + 32x = x + (21 + 30x) Reorder the terms: 8 + 32x = 21 + x + 30x Combine like terms: x + 30x = 31x 8 + 32x = 21 + 31x Solving 8 + 32x = 21 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. 8 + 32x + -31x = 21 + 31x + -31x Combine like terms: 32x + -31x = 1x 8 + 1x = 21 + 31x + -31x Combine like terms: 31x + -31x = 0 8 + 1x = 21 + 0 8 + 1x = 21 Add '-8' to each side of the equation. 8 + -8 + 1x = 21 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 21 + -8 1x = 21 + -8 Combine like terms: 21 + -8 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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