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