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Simplifying x + -1(5 + -2x) + -2(5x + 7) = 3 + -2(2x + -5) x + (5 * -1 + -2x * -1) + -2(5x + 7) = 3 + -2(2x + -5) x + (-5 + 2x) + -2(5x + 7) = 3 + -2(2x + -5) Reorder the terms: x + -5 + 2x + -2(7 + 5x) = 3 + -2(2x + -5) x + -5 + 2x + (7 * -2 + 5x * -2) = 3 + -2(2x + -5) x + -5 + 2x + (-14 + -10x) = 3 + -2(2x + -5) Reorder the terms: -5 + -14 + x + 2x + -10x = 3 + -2(2x + -5) Combine like terms: -5 + -14 = -19 -19 + x + 2x + -10x = 3 + -2(2x + -5) Combine like terms: x + 2x = 3x -19 + 3x + -10x = 3 + -2(2x + -5) Combine like terms: 3x + -10x = -7x -19 + -7x = 3 + -2(2x + -5) Reorder the terms: -19 + -7x = 3 + -2(-5 + 2x) -19 + -7x = 3 + (-5 * -2 + 2x * -2) -19 + -7x = 3 + (10 + -4x) Combine like terms: 3 + 10 = 13 -19 + -7x = 13 + -4x Solving -19 + -7x = 13 + -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. -19 + -7x + 4x = 13 + -4x + 4x Combine like terms: -7x + 4x = -3x -19 + -3x = 13 + -4x + 4x Combine like terms: -4x + 4x = 0 -19 + -3x = 13 + 0 -19 + -3x = 13 Add '19' to each side of the equation. -19 + 19 + -3x = 13 + 19 Combine like terms: -19 + 19 = 0 0 + -3x = 13 + 19 -3x = 13 + 19 Combine like terms: 13 + 19 = 32 -3x = 32 Divide each side by '-3'. x = -10.66666667 Simplifying x = -10.66666667
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