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Simplifying 4(2x + 9) = -6 + 34 Reorder the terms: 4(9 + 2x) = -6 + 34 (9 * 4 + 2x * 4) = -6 + 34 (36 + 8x) = -6 + 34 Combine like terms: -6 + 34 = 28 36 + 8x = 28 Solving 36 + 8x = 28 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 = 28 + -36 Combine like terms: 36 + -36 = 0 0 + 8x = 28 + -36 8x = 28 + -36 Combine like terms: 28 + -36 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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