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Simplifying -1(7x + -2 + 12) + (-5x + -3x + 2) = -4x + -1(-8x + 2) Reorder the terms: -1(-2 + 12 + 7x) + (-5x + -3x + 2) = -4x + -1(-8x + 2) Combine like terms: -2 + 12 = 10 -1(10 + 7x) + (-5x + -3x + 2) = -4x + -1(-8x + 2) (10 * -1 + 7x * -1) + (-5x + -3x + 2) = -4x + -1(-8x + 2) (-10 + -7x) + (-5x + -3x + 2) = -4x + -1(-8x + 2) Reorder the terms: -10 + -7x + (2 + -5x + -3x) = -4x + -1(-8x + 2) Combine like terms: -5x + -3x = -8x -10 + -7x + (2 + -8x) = -4x + -1(-8x + 2) Remove parenthesis around (2 + -8x) -10 + -7x + 2 + -8x = -4x + -1(-8x + 2) Reorder the terms: -10 + 2 + -7x + -8x = -4x + -1(-8x + 2) Combine like terms: -10 + 2 = -8 -8 + -7x + -8x = -4x + -1(-8x + 2) Combine like terms: -7x + -8x = -15x -8 + -15x = -4x + -1(-8x + 2) Reorder the terms: -8 + -15x = -4x + -1(2 + -8x) -8 + -15x = -4x + (2 * -1 + -8x * -1) -8 + -15x = -4x + (-2 + 8x) Reorder the terms: -8 + -15x = -2 + -4x + 8x Combine like terms: -4x + 8x = 4x -8 + -15x = -2 + 4x Solving -8 + -15x = -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. -8 + -15x + -4x = -2 + 4x + -4x Combine like terms: -15x + -4x = -19x -8 + -19x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -19x = -2 + 0 -8 + -19x = -2 Add '8' to each side of the equation. -8 + 8 + -19x = -2 + 8 Combine like terms: -8 + 8 = 0 0 + -19x = -2 + 8 -19x = -2 + 8 Combine like terms: -2 + 8 = 6 -19x = 6 Divide each side by '-19'. x = -0.3157894737 Simplifying x = -0.3157894737
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