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Simplifying -86 = -2(9x + -7) + -10(-10x + 10) Reorder the terms: -86 = -2(-7 + 9x) + -10(-10x + 10) -86 = (-7 * -2 + 9x * -2) + -10(-10x + 10) -86 = (14 + -18x) + -10(-10x + 10) Reorder the terms: -86 = 14 + -18x + -10(10 + -10x) -86 = 14 + -18x + (10 * -10 + -10x * -10) -86 = 14 + -18x + (-100 + 100x) Reorder the terms: -86 = 14 + -100 + -18x + 100x Combine like terms: 14 + -100 = -86 -86 = -86 + -18x + 100x Combine like terms: -18x + 100x = 82x -86 = -86 + 82x Add '86' to each side of the equation. -86 + 86 = -86 + 86 + 82x Combine like terms: -86 + 86 = 0 0 = -86 + 86 + 82x Combine like terms: -86 + 86 = 0 0 = 0 + 82x 0 = 82x Solving 0 = 82x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-82x' to each side of the equation. 0 + -82x = 82x + -82x Remove the zero: -82x = 82x + -82x Combine like terms: 82x + -82x = 0 -82x = 0 Divide each side by '-82'. x = 0 Simplifying x = 0
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