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Simplifying -7(2x + 3) + 5x = 51 Reorder the terms: -7(3 + 2x) + 5x = 51 (3 * -7 + 2x * -7) + 5x = 51 (-21 + -14x) + 5x = 51 Combine like terms: -14x + 5x = -9x -21 + -9x = 51 Solving -21 + -9x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -9x = 51 + 21 Combine like terms: -21 + 21 = 0 0 + -9x = 51 + 21 -9x = 51 + 21 Combine like terms: 51 + 21 = 72 -9x = 72 Divide each side by '-9'. x = -8 Simplifying x = -8
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