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Simplifying -2(7x + -7) + -5(3 + -7x) = 35 + 22x Reorder the terms: -2(-7 + 7x) + -5(3 + -7x) = 35 + 22x (-7 * -2 + 7x * -2) + -5(3 + -7x) = 35 + 22x (14 + -14x) + -5(3 + -7x) = 35 + 22x 14 + -14x + (3 * -5 + -7x * -5) = 35 + 22x 14 + -14x + (-15 + 35x) = 35 + 22x Reorder the terms: 14 + -15 + -14x + 35x = 35 + 22x Combine like terms: 14 + -15 = -1 -1 + -14x + 35x = 35 + 22x Combine like terms: -14x + 35x = 21x -1 + 21x = 35 + 22x Solving -1 + 21x = 35 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -1 + 21x + -22x = 35 + 22x + -22x Combine like terms: 21x + -22x = -1x -1 + -1x = 35 + 22x + -22x Combine like terms: 22x + -22x = 0 -1 + -1x = 35 + 0 -1 + -1x = 35 Add '1' to each side of the equation. -1 + 1 + -1x = 35 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 35 + 1 -1x = 35 + 1 Combine like terms: 35 + 1 = 36 -1x = 36 Divide each side by '-1'. x = -36 Simplifying x = -36
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