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Simplifying -51 = -5x + 2(7x + 15) Reorder the terms: -51 = -5x + 2(15 + 7x) -51 = -5x + (15 * 2 + 7x * 2) -51 = -5x + (30 + 14x) Reorder the terms: -51 = 30 + -5x + 14x Combine like terms: -5x + 14x = 9x -51 = 30 + 9x Solving -51 = 30 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -51 + -9x = 30 + 9x + -9x Combine like terms: 9x + -9x = 0 -51 + -9x = 30 + 0 -51 + -9x = 30 Add '51' to each side of the equation. -51 + 51 + -9x = 30 + 51 Combine like terms: -51 + 51 = 0 0 + -9x = 30 + 51 -9x = 30 + 51 Combine like terms: 30 + 51 = 81 -9x = 81 Divide each side by '-9'. x = -9 Simplifying x = -9
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