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Simplifying 2(2x + 1) + -1(2x + -6) = -40 Reorder the terms: 2(1 + 2x) + -1(2x + -6) = -40 (1 * 2 + 2x * 2) + -1(2x + -6) = -40 (2 + 4x) + -1(2x + -6) = -40 Reorder the terms: 2 + 4x + -1(-6 + 2x) = -40 2 + 4x + (-6 * -1 + 2x * -1) = -40 2 + 4x + (6 + -2x) = -40 Reorder the terms: 2 + 6 + 4x + -2x = -40 Combine like terms: 2 + 6 = 8 8 + 4x + -2x = -40 Combine like terms: 4x + -2x = 2x 8 + 2x = -40 Solving 8 + 2x = -40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2x = -40 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = -40 + -8 2x = -40 + -8 Combine like terms: -40 + -8 = -48 2x = -48 Divide each side by '2'. x = -24 Simplifying x = -24
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