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Simplifying -71 = 7x + -6(x + 10) Reorder the terms: -71 = 7x + -6(10 + x) -71 = 7x + (10 * -6 + x * -6) -71 = 7x + (-60 + -6x) Reorder the terms: -71 = -60 + 7x + -6x Combine like terms: 7x + -6x = 1x -71 = -60 + 1x Solving -71 = -60 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -71 + -1x = -60 + 1x + -1x Combine like terms: 1x + -1x = 0 -71 + -1x = -60 + 0 -71 + -1x = -60 Add '71' to each side of the equation. -71 + 71 + -1x = -60 + 71 Combine like terms: -71 + 71 = 0 0 + -1x = -60 + 71 -1x = -60 + 71 Combine like terms: -60 + 71 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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