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Simplifying 7(x + 10) + 2 = -7(x + -1) + -10 Reorder the terms: 7(10 + x) + 2 = -7(x + -1) + -10 (10 * 7 + x * 7) + 2 = -7(x + -1) + -10 (70 + 7x) + 2 = -7(x + -1) + -10 Reorder the terms: 70 + 2 + 7x = -7(x + -1) + -10 Combine like terms: 70 + 2 = 72 72 + 7x = -7(x + -1) + -10 Reorder the terms: 72 + 7x = -7(-1 + x) + -10 72 + 7x = (-1 * -7 + x * -7) + -10 72 + 7x = (7 + -7x) + -10 Reorder the terms: 72 + 7x = 7 + -10 + -7x Combine like terms: 7 + -10 = -3 72 + 7x = -3 + -7x Solving 72 + 7x = -3 + -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. 72 + 7x + 7x = -3 + -7x + 7x Combine like terms: 7x + 7x = 14x 72 + 14x = -3 + -7x + 7x Combine like terms: -7x + 7x = 0 72 + 14x = -3 + 0 72 + 14x = -3 Add '-72' to each side of the equation. 72 + -72 + 14x = -3 + -72 Combine like terms: 72 + -72 = 0 0 + 14x = -3 + -72 14x = -3 + -72 Combine like terms: -3 + -72 = -75 14x = -75 Divide each side by '14'. x = -5.357142857 Simplifying x = -5.357142857
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