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Simplifying 4(2x + 9) = -46 + 10 Reorder the terms: 4(9 + 2x) = -46 + 10 (9 * 4 + 2x * 4) = -46 + 10 (36 + 8x) = -46 + 10 Combine like terms: -46 + 10 = -36 36 + 8x = -36 Solving 36 + 8x = -36 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 = -36 + -36 Combine like terms: 36 + -36 = 0 0 + 8x = -36 + -36 8x = -36 + -36 Combine like terms: -36 + -36 = -72 8x = -72 Divide each side by '8'. x = -9 Simplifying x = -9
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