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Simplifying -1(7x + -2 + 12) + (-5x + -3x + 4) = -1(-1x + 7) + -1(6x + -4 + -7) Reorder the terms: -1(-2 + 12 + 7x) + (-5x + -3x + 4) = -1(-1x + 7) + -1(6x + -4 + -7) Combine like terms: -2 + 12 = 10 -1(10 + 7x) + (-5x + -3x + 4) = -1(-1x + 7) + -1(6x + -4 + -7) (10 * -1 + 7x * -1) + (-5x + -3x + 4) = -1(-1x + 7) + -1(6x + -4 + -7) (-10 + -7x) + (-5x + -3x + 4) = -1(-1x + 7) + -1(6x + -4 + -7) Reorder the terms: -10 + -7x + (4 + -5x + -3x) = -1(-1x + 7) + -1(6x + -4 + -7) Combine like terms: -5x + -3x = -8x -10 + -7x + (4 + -8x) = -1(-1x + 7) + -1(6x + -4 + -7) Remove parenthesis around (4 + -8x) -10 + -7x + 4 + -8x = -1(-1x + 7) + -1(6x + -4 + -7) Reorder the terms: -10 + 4 + -7x + -8x = -1(-1x + 7) + -1(6x + -4 + -7) Combine like terms: -10 + 4 = -6 -6 + -7x + -8x = -1(-1x + 7) + -1(6x + -4 + -7) Combine like terms: -7x + -8x = -15x -6 + -15x = -1(-1x + 7) + -1(6x + -4 + -7) Reorder the terms: -6 + -15x = -1(7 + -1x) + -1(6x + -4 + -7) -6 + -15x = (7 * -1 + -1x * -1) + -1(6x + -4 + -7) -6 + -15x = (-7 + 1x) + -1(6x + -4 + -7) Reorder the terms: -6 + -15x = -7 + 1x + -1(-4 + -7 + 6x) Combine like terms: -4 + -7 = -11 -6 + -15x = -7 + 1x + -1(-11 + 6x) -6 + -15x = -7 + 1x + (-11 * -1 + 6x * -1) -6 + -15x = -7 + 1x + (11 + -6x) Reorder the terms: -6 + -15x = -7 + 11 + 1x + -6x Combine like terms: -7 + 11 = 4 -6 + -15x = 4 + 1x + -6x Combine like terms: 1x + -6x = -5x -6 + -15x = 4 + -5x Solving -6 + -15x = 4 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -6 + -15x + 5x = 4 + -5x + 5x Combine like terms: -15x + 5x = -10x -6 + -10x = 4 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + -10x = 4 + 0 -6 + -10x = 4 Add '6' to each side of the equation. -6 + 6 + -10x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -10x = 4 + 6 -10x = 4 + 6 Combine like terms: 4 + 6 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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