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