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Simplifying 4(x + 8) + -8x = 42 Reorder the terms: 4(8 + x) + -8x = 42 (8 * 4 + x * 4) + -8x = 42 (32 + 4x) + -8x = 42 Combine like terms: 4x + -8x = -4x 32 + -4x = 42 Solving 32 + -4x = 42 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 + -4x = 42 + -32 Combine like terms: 32 + -32 = 0 0 + -4x = 42 + -32 -4x = 42 + -32 Combine like terms: 42 + -32 = 10 -4x = 10 Divide each side by '-4'. x = -2.5 Simplifying x = -2.5
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