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Simplifying (3x + -7) + -5(2x + 1) + -1(x + -2) = x + -1(-1(3x + -1)) Reorder the terms: (-7 + 3x) + -5(2x + 1) + -1(x + -2) = x + -1(-1(3x + -1)) Remove parenthesis around (-7 + 3x) -7 + 3x + -5(2x + 1) + -1(x + -2) = x + -1(-1(3x + -1)) Reorder the terms: -7 + 3x + -5(1 + 2x) + -1(x + -2) = x + -1(-1(3x + -1)) -7 + 3x + (1 * -5 + 2x * -5) + -1(x + -2) = x + -1(-1(3x + -1)) -7 + 3x + (-5 + -10x) + -1(x + -2) = x + -1(-1(3x + -1)) Reorder the terms: -7 + 3x + -5 + -10x + -1(-2 + x) = x + -1(-1(3x + -1)) -7 + 3x + -5 + -10x + (-2 * -1 + x * -1) = x + -1(-1(3x + -1)) -7 + 3x + -5 + -10x + (2 + -1x) = x + -1(-1(3x + -1)) Reorder the terms: -7 + -5 + 2 + 3x + -10x + -1x = x + -1(-1(3x + -1)) Combine like terms: -7 + -5 = -12 -12 + 2 + 3x + -10x + -1x = x + -1(-1(3x + -1)) Combine like terms: -12 + 2 = -10 -10 + 3x + -10x + -1x = x + -1(-1(3x + -1)) Combine like terms: 3x + -10x = -7x -10 + -7x + -1x = x + -1(-1(3x + -1)) Combine like terms: -7x + -1x = -8x -10 + -8x = x + -1(-1(3x + -1)) Reorder the terms: -10 + -8x = x + -1(-1(-1 + 3x)) -10 + -8x = x + -1((-1 * -1 + 3x * -1)) -10 + -8x = x + -1((1 + -3x)) -10 + -8x = x + (1 * -1 + -3x * -1) -10 + -8x = x + (-1 + 3x) Reorder the terms: -10 + -8x = -1 + x + 3x Combine like terms: x + 3x = 4x -10 + -8x = -1 + 4x Solving -10 + -8x = -1 + 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. -10 + -8x + -4x = -1 + 4x + -4x Combine like terms: -8x + -4x = -12x -10 + -12x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + -12x = -1 + 0 -10 + -12x = -1 Add '10' to each side of the equation. -10 + 10 + -12x = -1 + 10 Combine like terms: -10 + 10 = 0 0 + -12x = -1 + 10 -12x = -1 + 10 Combine like terms: -1 + 10 = 9 -12x = 9 Divide each side by '-12'. x = -0.75 Simplifying x = -0.75
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