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Simplifying x + -1(10 + -1(2x + 5)) + -7 = -1x + (2 + -3x) Reorder the terms: x + -1(10 + -1(5 + 2x)) + -7 = -1x + (2 + -3x) x + -1(10 + (5 * -1 + 2x * -1)) + -7 = -1x + (2 + -3x) x + -1(10 + (-5 + -2x)) + -7 = -1x + (2 + -3x) Combine like terms: 10 + -5 = 5 x + -1(5 + -2x) + -7 = -1x + (2 + -3x) x + (5 * -1 + -2x * -1) + -7 = -1x + (2 + -3x) x + (-5 + 2x) + -7 = -1x + (2 + -3x) Reorder the terms: -5 + -7 + x + 2x = -1x + (2 + -3x) Combine like terms: -5 + -7 = -12 -12 + x + 2x = -1x + (2 + -3x) Combine like terms: x + 2x = 3x -12 + 3x = -1x + (2 + -3x) Remove parenthesis around (2 + -3x) -12 + 3x = -1x + 2 + -3x Reorder the terms: -12 + 3x = 2 + -1x + -3x Combine like terms: -1x + -3x = -4x -12 + 3x = 2 + -4x Solving -12 + 3x = 2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -12 + 3x + 4x = 2 + -4x + 4x Combine like terms: 3x + 4x = 7x -12 + 7x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 7x = 2 + 0 -12 + 7x = 2 Add '12' to each side of the equation. -12 + 12 + 7x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 2 + 12 7x = 2 + 12 Combine like terms: 2 + 12 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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