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Simplifying 2(1 + -3x) + -1(5 + -1x) = 7 (1 * 2 + -3x * 2) + -1(5 + -1x) = 7 (2 + -6x) + -1(5 + -1x) = 7 2 + -6x + (5 * -1 + -1x * -1) = 7 2 + -6x + (-5 + 1x) = 7 Reorder the terms: 2 + -5 + -6x + 1x = 7 Combine like terms: 2 + -5 = -3 -3 + -6x + 1x = 7 Combine like terms: -6x + 1x = -5x -3 + -5x = 7 Solving -3 + -5x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5x = 7 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 7 + 3 -5x = 7 + 3 Combine like terms: 7 + 3 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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