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Simplifying 5(x + -7) = 7(2x + 1) + -9 Reorder the terms: 5(-7 + x) = 7(2x + 1) + -9 (-7 * 5 + x * 5) = 7(2x + 1) + -9 (-35 + 5x) = 7(2x + 1) + -9 Reorder the terms: -35 + 5x = 7(1 + 2x) + -9 -35 + 5x = (1 * 7 + 2x * 7) + -9 -35 + 5x = (7 + 14x) + -9 Reorder the terms: -35 + 5x = 7 + -9 + 14x Combine like terms: 7 + -9 = -2 -35 + 5x = -2 + 14x Solving -35 + 5x = -2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -35 + 5x + -14x = -2 + 14x + -14x Combine like terms: 5x + -14x = -9x -35 + -9x = -2 + 14x + -14x Combine like terms: 14x + -14x = 0 -35 + -9x = -2 + 0 -35 + -9x = -2 Add '35' to each side of the equation. -35 + 35 + -9x = -2 + 35 Combine like terms: -35 + 35 = 0 0 + -9x = -2 + 35 -9x = -2 + 35 Combine like terms: -2 + 35 = 33 -9x = 33 Divide each side by '-9'. x = -3.666666667 Simplifying x = -3.666666667
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