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Simplifying 4(2x + 9) = -38 + 42 Reorder the terms: 4(9 + 2x) = -38 + 42 (9 * 4 + 2x * 4) = -38 + 42 (36 + 8x) = -38 + 42 Combine like terms: -38 + 42 = 4 36 + 8x = 4 Solving 36 + 8x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 8x = 4 + -36 Combine like terms: 36 + -36 = 0 0 + 8x = 4 + -36 8x = 4 + -36 Combine like terms: 4 + -36 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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