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Simplifying 5x + 7(-2x + -7) = -51 + -7x Reorder the terms: 5x + 7(-7 + -2x) = -51 + -7x 5x + (-7 * 7 + -2x * 7) = -51 + -7x 5x + (-49 + -14x) = -51 + -7x Reorder the terms: -49 + 5x + -14x = -51 + -7x Combine like terms: 5x + -14x = -9x -49 + -9x = -51 + -7x Solving -49 + -9x = -51 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -49 + -9x + 7x = -51 + -7x + 7x Combine like terms: -9x + 7x = -2x -49 + -2x = -51 + -7x + 7x Combine like terms: -7x + 7x = 0 -49 + -2x = -51 + 0 -49 + -2x = -51 Add '49' to each side of the equation. -49 + 49 + -2x = -51 + 49 Combine like terms: -49 + 49 = 0 0 + -2x = -51 + 49 -2x = -51 + 49 Combine like terms: -51 + 49 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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