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Simplifying 2(3x + 5) + -4(x + -5) = 2 Reorder the terms: 2(5 + 3x) + -4(x + -5) = 2 (5 * 2 + 3x * 2) + -4(x + -5) = 2 (10 + 6x) + -4(x + -5) = 2 Reorder the terms: 10 + 6x + -4(-5 + x) = 2 10 + 6x + (-5 * -4 + x * -4) = 2 10 + 6x + (20 + -4x) = 2 Reorder the terms: 10 + 20 + 6x + -4x = 2 Combine like terms: 10 + 20 = 30 30 + 6x + -4x = 2 Combine like terms: 6x + -4x = 2x 30 + 2x = 2 Solving 30 + 2x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 2x = 2 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 2 + -30 2x = 2 + -30 Combine like terms: 2 + -30 = -28 2x = -28 Divide each side by '2'. x = -14 Simplifying x = -14
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