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Simplifying -71 = -7x + -2(3x + -10) Reorder the terms: -71 = -7x + -2(-10 + 3x) -71 = -7x + (-10 * -2 + 3x * -2) -71 = -7x + (20 + -6x) Reorder the terms: -71 = 20 + -7x + -6x Combine like terms: -7x + -6x = -13x -71 = 20 + -13x Solving -71 = 20 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -71 + 13x = 20 + -13x + 13x Combine like terms: -13x + 13x = 0 -71 + 13x = 20 + 0 -71 + 13x = 20 Add '71' to each side of the equation. -71 + 71 + 13x = 20 + 71 Combine like terms: -71 + 71 = 0 0 + 13x = 20 + 71 13x = 20 + 71 Combine like terms: 20 + 71 = 91 13x = 91 Divide each side by '13'. x = 7 Simplifying x = 7
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