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Simplifying 2x = 1(2x + -8) + -1(10 + 2x) Reorder the terms: 2x = 1(-8 + 2x) + -1(10 + 2x) 2x = (-8 * 1 + 2x * 1) + -1(10 + 2x) 2x = (-8 + 2x) + -1(10 + 2x) 2x = -8 + 2x + (10 * -1 + 2x * -1) 2x = -8 + 2x + (-10 + -2x) Reorder the terms: 2x = -8 + -10 + 2x + -2x Combine like terms: -8 + -10 = -18 2x = -18 + 2x + -2x Combine like terms: 2x + -2x = 0 2x = -18 + 0 2x = -18 Solving 2x = -18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '2'. x = -9 Simplifying x = -9
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