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Simplifying 5(4x + 7) = -36 + 51 Reorder the terms: 5(7 + 4x) = -36 + 51 (7 * 5 + 4x * 5) = -36 + 51 (35 + 20x) = -36 + 51 Combine like terms: -36 + 51 = 15 35 + 20x = 15 Solving 35 + 20x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 20x = 15 + -35 Combine like terms: 35 + -35 = 0 0 + 20x = 15 + -35 20x = 15 + -35 Combine like terms: 15 + -35 = -20 20x = -20 Divide each side by '20'. x = -1 Simplifying x = -1
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