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Simplifying 5(x + -4) = -2x + 22 Reorder the terms: 5(-4 + x) = -2x + 22 (-4 * 5 + x * 5) = -2x + 22 (-20 + 5x) = -2x + 22 Reorder the terms: -20 + 5x = 22 + -2x Solving -20 + 5x = 22 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -20 + 5x + 2x = 22 + -2x + 2x Combine like terms: 5x + 2x = 7x -20 + 7x = 22 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + 7x = 22 + 0 -20 + 7x = 22 Add '20' to each side of the equation. -20 + 20 + 7x = 22 + 20 Combine like terms: -20 + 20 = 0 0 + 7x = 22 + 20 7x = 22 + 20 Combine like terms: 22 + 20 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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