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Simplifying 3x + -5(2 + -1x) = -12(x + -3) 3x + (2 * -5 + -1x * -5) = -12(x + -3) 3x + (-10 + 5x) = -12(x + -3) Reorder the terms: -10 + 3x + 5x = -12(x + -3) Combine like terms: 3x + 5x = 8x -10 + 8x = -12(x + -3) Reorder the terms: -10 + 8x = -12(-3 + x) -10 + 8x = (-3 * -12 + x * -12) -10 + 8x = (36 + -12x) Solving -10 + 8x = 36 + -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. -10 + 8x + 12x = 36 + -12x + 12x Combine like terms: 8x + 12x = 20x -10 + 20x = 36 + -12x + 12x Combine like terms: -12x + 12x = 0 -10 + 20x = 36 + 0 -10 + 20x = 36 Add '10' to each side of the equation. -10 + 10 + 20x = 36 + 10 Combine like terms: -10 + 10 = 0 0 + 20x = 36 + 10 20x = 36 + 10 Combine like terms: 36 + 10 = 46 20x = 46 Divide each side by '20'. x = 2.3 Simplifying x = 2.3
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