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Simplifying 5(x + 4) + 22 = -2x Reorder the terms: 5(4 + x) + 22 = -2x (4 * 5 + x * 5) + 22 = -2x (20 + 5x) + 22 = -2x Reorder the terms: 20 + 22 + 5x = -2x Combine like terms: 20 + 22 = 42 42 + 5x = -2x Solving 42 + 5x = -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. 42 + 5x + 2x = -2x + 2x Combine like terms: 5x + 2x = 7x 42 + 7x = -2x + 2x Combine like terms: -2x + 2x = 0 42 + 7x = 0 Add '-42' to each side of the equation. 42 + -42 + 7x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 7x = 0 + -42 7x = 0 + -42 Combine like terms: 0 + -42 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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