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Simplifying -7x + 2 = 5(2 + -1x) Reorder the terms: 2 + -7x = 5(2 + -1x) 2 + -7x = (2 * 5 + -1x * 5) 2 + -7x = (10 + -5x) Solving 2 + -7x = 10 + -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. 2 + -7x + 5x = 10 + -5x + 5x Combine like terms: -7x + 5x = -2x 2 + -2x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + -2x = 10 + 0 2 + -2x = 10 Add '-2' to each side of the equation. 2 + -2 + -2x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 10 + -2 -2x = 10 + -2 Combine like terms: 10 + -2 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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