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