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Simplifying -3(-1x + -6) + -5(-1x + 4) = -12(x + -5) + -8(10 + -1x) Reorder the terms: -3(-6 + -1x) + -5(-1x + 4) = -12(x + -5) + -8(10 + -1x) (-6 * -3 + -1x * -3) + -5(-1x + 4) = -12(x + -5) + -8(10 + -1x) (18 + 3x) + -5(-1x + 4) = -12(x + -5) + -8(10 + -1x) Reorder the terms: 18 + 3x + -5(4 + -1x) = -12(x + -5) + -8(10 + -1x) 18 + 3x + (4 * -5 + -1x * -5) = -12(x + -5) + -8(10 + -1x) 18 + 3x + (-20 + 5x) = -12(x + -5) + -8(10 + -1x) Reorder the terms: 18 + -20 + 3x + 5x = -12(x + -5) + -8(10 + -1x) Combine like terms: 18 + -20 = -2 -2 + 3x + 5x = -12(x + -5) + -8(10 + -1x) Combine like terms: 3x + 5x = 8x -2 + 8x = -12(x + -5) + -8(10 + -1x) Reorder the terms: -2 + 8x = -12(-5 + x) + -8(10 + -1x) -2 + 8x = (-5 * -12 + x * -12) + -8(10 + -1x) -2 + 8x = (60 + -12x) + -8(10 + -1x) -2 + 8x = 60 + -12x + (10 * -8 + -1x * -8) -2 + 8x = 60 + -12x + (-80 + 8x) Reorder the terms: -2 + 8x = 60 + -80 + -12x + 8x Combine like terms: 60 + -80 = -20 -2 + 8x = -20 + -12x + 8x Combine like terms: -12x + 8x = -4x -2 + 8x = -20 + -4x Solving -2 + 8x = -20 + -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. -2 + 8x + 4x = -20 + -4x + 4x Combine like terms: 8x + 4x = 12x -2 + 12x = -20 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 12x = -20 + 0 -2 + 12x = -20 Add '2' to each side of the equation. -2 + 2 + 12x = -20 + 2 Combine like terms: -2 + 2 = 0 0 + 12x = -20 + 2 12x = -20 + 2 Combine like terms: -20 + 2 = -18 12x = -18 Divide each side by '12'. x = -1.5 Simplifying x = -1.5
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