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Simplifying -1(6x + -2) + -1(3x + 7) = -1(8x + -2) + -1(4x + 4) Reorder the terms: -1(-2 + 6x) + -1(3x + 7) = -1(8x + -2) + -1(4x + 4) (-2 * -1 + 6x * -1) + -1(3x + 7) = -1(8x + -2) + -1(4x + 4) (2 + -6x) + -1(3x + 7) = -1(8x + -2) + -1(4x + 4) Reorder the terms: 2 + -6x + -1(7 + 3x) = -1(8x + -2) + -1(4x + 4) 2 + -6x + (7 * -1 + 3x * -1) = -1(8x + -2) + -1(4x + 4) 2 + -6x + (-7 + -3x) = -1(8x + -2) + -1(4x + 4) Reorder the terms: 2 + -7 + -6x + -3x = -1(8x + -2) + -1(4x + 4) Combine like terms: 2 + -7 = -5 -5 + -6x + -3x = -1(8x + -2) + -1(4x + 4) Combine like terms: -6x + -3x = -9x -5 + -9x = -1(8x + -2) + -1(4x + 4) Reorder the terms: -5 + -9x = -1(-2 + 8x) + -1(4x + 4) -5 + -9x = (-2 * -1 + 8x * -1) + -1(4x + 4) -5 + -9x = (2 + -8x) + -1(4x + 4) Reorder the terms: -5 + -9x = 2 + -8x + -1(4 + 4x) -5 + -9x = 2 + -8x + (4 * -1 + 4x * -1) -5 + -9x = 2 + -8x + (-4 + -4x) Reorder the terms: -5 + -9x = 2 + -4 + -8x + -4x Combine like terms: 2 + -4 = -2 -5 + -9x = -2 + -8x + -4x Combine like terms: -8x + -4x = -12x -5 + -9x = -2 + -12x Solving -5 + -9x = -2 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -5 + -9x + 12x = -2 + -12x + 12x Combine like terms: -9x + 12x = 3x -5 + 3x = -2 + -12x + 12x Combine like terms: -12x + 12x = 0 -5 + 3x = -2 + 0 -5 + 3x = -2 Add '5' to each side of the equation. -5 + 5 + 3x = -2 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = -2 + 5 3x = -2 + 5 Combine like terms: -2 + 5 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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