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Simplifying 4(9 + -2x) + 10x = 52 (9 * 4 + -2x * 4) + 10x = 52 (36 + -8x) + 10x = 52 Combine like terms: -8x + 10x = 2x 36 + 2x = 52 Solving 36 + 2x = 52 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 + 2x = 52 + -36 Combine like terms: 36 + -36 = 0 0 + 2x = 52 + -36 2x = 52 + -36 Combine like terms: 52 + -36 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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