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Simplifying 8(2x + 1) = 4(7x + 8) Reorder the terms: 8(1 + 2x) = 4(7x + 8) (1 * 8 + 2x * 8) = 4(7x + 8) (8 + 16x) = 4(7x + 8) Reorder the terms: 8 + 16x = 4(8 + 7x) 8 + 16x = (8 * 4 + 7x * 4) 8 + 16x = (32 + 28x) Solving 8 + 16x = 32 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 8 + 16x + -28x = 32 + 28x + -28x Combine like terms: 16x + -28x = -12x 8 + -12x = 32 + 28x + -28x Combine like terms: 28x + -28x = 0 8 + -12x = 32 + 0 8 + -12x = 32 Add '-8' to each side of the equation. 8 + -8 + -12x = 32 + -8 Combine like terms: 8 + -8 = 0 0 + -12x = 32 + -8 -12x = 32 + -8 Combine like terms: 32 + -8 = 24 -12x = 24 Divide each side by '-12'. x = -2 Simplifying x = -2
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