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Simplifying 4(2x + 8) + -3x = 47 Reorder the terms: 4(8 + 2x) + -3x = 47 (8 * 4 + 2x * 4) + -3x = 47 (32 + 8x) + -3x = 47 Combine like terms: 8x + -3x = 5x 32 + 5x = 47 Solving 32 + 5x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 5x = 47 + -32 Combine like terms: 32 + -32 = 0 0 + 5x = 47 + -32 5x = 47 + -32 Combine like terms: 47 + -32 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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