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Simplifying 8(x + 4) = 3(x + 2) Reorder the terms: 8(4 + x) = 3(x + 2) (4 * 8 + x * 8) = 3(x + 2) (32 + 8x) = 3(x + 2) Reorder the terms: 32 + 8x = 3(2 + x) 32 + 8x = (2 * 3 + x * 3) 32 + 8x = (6 + 3x) Solving 32 + 8x = 6 + 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. 32 + 8x + -3x = 6 + 3x + -3x Combine like terms: 8x + -3x = 5x 32 + 5x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 32 + 5x = 6 + 0 32 + 5x = 6 Add '-32' to each side of the equation. 32 + -32 + 5x = 6 + -32 Combine like terms: 32 + -32 = 0 0 + 5x = 6 + -32 5x = 6 + -32 Combine like terms: 6 + -32 = -26 5x = -26 Divide each side by '5'. x = -5.2 Simplifying x = -5.2
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