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Simplifying 9(x + -14) = 35 + -7(x + 5) Reorder the terms: 9(-14 + x) = 35 + -7(x + 5) (-14 * 9 + x * 9) = 35 + -7(x + 5) (-126 + 9x) = 35 + -7(x + 5) Reorder the terms: -126 + 9x = 35 + -7(5 + x) -126 + 9x = 35 + (5 * -7 + x * -7) -126 + 9x = 35 + (-35 + -7x) Combine like terms: 35 + -35 = 0 -126 + 9x = 0 + -7x -126 + 9x = -7x Solving -126 + 9x = -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. -126 + 9x + 7x = -7x + 7x Combine like terms: 9x + 7x = 16x -126 + 16x = -7x + 7x Combine like terms: -7x + 7x = 0 -126 + 16x = 0 Add '126' to each side of the equation. -126 + 126 + 16x = 0 + 126 Combine like terms: -126 + 126 = 0 0 + 16x = 0 + 126 16x = 0 + 126 Combine like terms: 0 + 126 = 126 16x = 126 Divide each side by '16'. x = 7.875 Simplifying x = 7.875
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