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Simplifying 7(3x + -5) = 22x Reorder the terms: 7(-5 + 3x) = 22x (-5 * 7 + 3x * 7) = 22x (-35 + 21x) = 22x Solving -35 + 21x = 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. -35 + 21x + -22x = 22x + -22x Combine like terms: 21x + -22x = -1x -35 + -1x = 22x + -22x Combine like terms: 22x + -22x = 0 -35 + -1x = 0 Add '35' to each side of the equation. -35 + 35 + -1x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -1x = 0 + 35 -1x = 0 + 35 Combine like terms: 0 + 35 = 35 -1x = 35 Divide each side by '-1'. x = -35 Simplifying x = -35
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