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Simplifying -5(x + -2) = -7x + -42 Reorder the terms: -5(-2 + x) = -7x + -42 (-2 * -5 + x * -5) = -7x + -42 (10 + -5x) = -7x + -42 Reorder the terms: 10 + -5x = -42 + -7x Solving 10 + -5x = -42 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 10 + -5x + 7x = -42 + -7x + 7x Combine like terms: -5x + 7x = 2x 10 + 2x = -42 + -7x + 7x Combine like terms: -7x + 7x = 0 10 + 2x = -42 + 0 10 + 2x = -42 Add '-10' to each side of the equation. 10 + -10 + 2x = -42 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = -42 + -10 2x = -42 + -10 Combine like terms: -42 + -10 = -52 2x = -52 Divide each side by '2'. x = -26 Simplifying x = -26
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