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Simplifying 7(x + 10) + 2 = -2(x + -7) + -8 Reorder the terms: 7(10 + x) + 2 = -2(x + -7) + -8 (10 * 7 + x * 7) + 2 = -2(x + -7) + -8 (70 + 7x) + 2 = -2(x + -7) + -8 Reorder the terms: 70 + 2 + 7x = -2(x + -7) + -8 Combine like terms: 70 + 2 = 72 72 + 7x = -2(x + -7) + -8 Reorder the terms: 72 + 7x = -2(-7 + x) + -8 72 + 7x = (-7 * -2 + x * -2) + -8 72 + 7x = (14 + -2x) + -8 Reorder the terms: 72 + 7x = 14 + -8 + -2x Combine like terms: 14 + -8 = 6 72 + 7x = 6 + -2x Solving 72 + 7x = 6 + -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. 72 + 7x + 2x = 6 + -2x + 2x Combine like terms: 7x + 2x = 9x 72 + 9x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 72 + 9x = 6 + 0 72 + 9x = 6 Add '-72' to each side of the equation. 72 + -72 + 9x = 6 + -72 Combine like terms: 72 + -72 = 0 0 + 9x = 6 + -72 9x = 6 + -72 Combine like terms: 6 + -72 = -66 9x = -66 Divide each side by '9'. x = -7.333333333 Simplifying x = -7.333333333
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