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Simplifying 2(5 + -1x) + -1(3x + 2) = -7 (5 * 2 + -1x * 2) + -1(3x + 2) = -7 (10 + -2x) + -1(3x + 2) = -7 Reorder the terms: 10 + -2x + -1(2 + 3x) = -7 10 + -2x + (2 * -1 + 3x * -1) = -7 10 + -2x + (-2 + -3x) = -7 Reorder the terms: 10 + -2 + -2x + -3x = -7 Combine like terms: 10 + -2 = 8 8 + -2x + -3x = -7 Combine like terms: -2x + -3x = -5x 8 + -5x = -7 Solving 8 + -5x = -7 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 + -5x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = -7 + -8 -5x = -7 + -8 Combine like terms: -7 + -8 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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