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