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Simplifying -7x + 42 = -2(x + -1) Reorder the terms: 42 + -7x = -2(x + -1) Reorder the terms: 42 + -7x = -2(-1 + x) 42 + -7x = (-1 * -2 + x * -2) 42 + -7x = (2 + -2x) Solving 42 + -7x = 2 + -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 + -7x + 2x = 2 + -2x + 2x Combine like terms: -7x + 2x = -5x 42 + -5x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 42 + -5x = 2 + 0 42 + -5x = 2 Add '-42' to each side of the equation. 42 + -42 + -5x = 2 + -42 Combine like terms: 42 + -42 = 0 0 + -5x = 2 + -42 -5x = 2 + -42 Combine like terms: 2 + -42 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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