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Simplifying 8(x + 1) = 3(x + 4) Reorder the terms: 8(1 + x) = 3(x + 4) (1 * 8 + x * 8) = 3(x + 4) (8 + 8x) = 3(x + 4) Reorder the terms: 8 + 8x = 3(4 + x) 8 + 8x = (4 * 3 + x * 3) 8 + 8x = (12 + 3x) Solving 8 + 8x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + 8x + -3x = 12 + 3x + -3x Combine like terms: 8x + -3x = 5x 8 + 5x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 5x = 12 + 0 8 + 5x = 12 Add '-8' to each side of the equation. 8 + -8 + 5x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 12 + -8 5x = 12 + -8 Combine like terms: 12 + -8 = 4 5x = 4 Divide each side by '5'. x = 0.8 Simplifying x = 0.8
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