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Simplifying 7(x + -5) = 4x + 22 Reorder the terms: 7(-5 + x) = 4x + 22 (-5 * 7 + x * 7) = 4x + 22 (-35 + 7x) = 4x + 22 Reorder the terms: -35 + 7x = 22 + 4x Solving -35 + 7x = 22 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -35 + 7x + -4x = 22 + 4x + -4x Combine like terms: 7x + -4x = 3x -35 + 3x = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 -35 + 3x = 22 + 0 -35 + 3x = 22 Add '35' to each side of the equation. -35 + 35 + 3x = 22 + 35 Combine like terms: -35 + 35 = 0 0 + 3x = 22 + 35 3x = 22 + 35 Combine like terms: 22 + 35 = 57 3x = 57 Divide each side by '3'. x = 19 Simplifying x = 19
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