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Simplifying -1(5 + -1x) + 7 = 2x + -10 + -7x (5 * -1 + -1x * -1) + 7 = 2x + -10 + -7x (-5 + 1x) + 7 = 2x + -10 + -7x Reorder the terms: -5 + 7 + 1x = 2x + -10 + -7x Combine like terms: -5 + 7 = 2 2 + 1x = 2x + -10 + -7x Reorder the terms: 2 + 1x = -10 + 2x + -7x Combine like terms: 2x + -7x = -5x 2 + 1x = -10 + -5x Solving 2 + 1x = -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 + 1x + 5x = -10 + -5x + 5x Combine like terms: 1x + 5x = 6x 2 + 6x = -10 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 6x = -10 + 0 2 + 6x = -10 Add '-2' to each side of the equation. 2 + -2 + 6x = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = -10 + -2 6x = -10 + -2 Combine like terms: -10 + -2 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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