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Simplifying 2x + 7 = -42 + -5x Reorder the terms: 7 + 2x = -42 + -5x Solving 7 + 2x = -42 + -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. 7 + 2x + 5x = -42 + -5x + 5x Combine like terms: 2x + 5x = 7x 7 + 7x = -42 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + 7x = -42 + 0 7 + 7x = -42 Add '-7' to each side of the equation. 7 + -7 + 7x = -42 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = -42 + -7 7x = -42 + -7 Combine like terms: -42 + -7 = -49 7x = -49 Divide each side by '7'. x = -7 Simplifying x = -7
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