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Simplifying 8(x + 4) = 5(x + 3) + 32 Reorder the terms: 8(4 + x) = 5(x + 3) + 32 (4 * 8 + x * 8) = 5(x + 3) + 32 (32 + 8x) = 5(x + 3) + 32 Reorder the terms: 32 + 8x = 5(3 + x) + 32 32 + 8x = (3 * 5 + x * 5) + 32 32 + 8x = (15 + 5x) + 32 Reorder the terms: 32 + 8x = 15 + 32 + 5x Combine like terms: 15 + 32 = 47 32 + 8x = 47 + 5x Solving 32 + 8x = 47 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 32 + 8x + -5x = 47 + 5x + -5x Combine like terms: 8x + -5x = 3x 32 + 3x = 47 + 5x + -5x Combine like terms: 5x + -5x = 0 32 + 3x = 47 + 0 32 + 3x = 47 Add '-32' to each side of the equation. 32 + -32 + 3x = 47 + -32 Combine like terms: 32 + -32 = 0 0 + 3x = 47 + -32 3x = 47 + -32 Combine like terms: 47 + -32 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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