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Simplifying 20 + 2x = 5(-1x + 4) + -42 Reorder the terms: 20 + 2x = 5(4 + -1x) + -42 20 + 2x = (4 * 5 + -1x * 5) + -42 20 + 2x = (20 + -5x) + -42 Reorder the terms: 20 + 2x = 20 + -42 + -5x Combine like terms: 20 + -42 = -22 20 + 2x = -22 + -5x Solving 20 + 2x = -22 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 20 + 2x + 5x = -22 + -5x + 5x Combine like terms: 2x + 5x = 7x 20 + 7x = -22 + -5x + 5x Combine like terms: -5x + 5x = 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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