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