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Simplifying 4(x + 8) + -7x = 47 Reorder the terms: 4(8 + x) + -7x = 47 (8 * 4 + x * 4) + -7x = 47 (32 + 4x) + -7x = 47 Combine like terms: 4x + -7x = -3x 32 + -3x = 47 Solving 32 + -3x = 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 + -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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