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Simplifying 2(x + -1) = 4(2 + -3x) Reorder the terms: 2(-1 + x) = 4(2 + -3x) (-1 * 2 + x * 2) = 4(2 + -3x) (-2 + 2x) = 4(2 + -3x) -2 + 2x = (2 * 4 + -3x * 4) -2 + 2x = (8 + -12x) Solving -2 + 2x = 8 + -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. -2 + 2x + 12x = 8 + -12x + 12x Combine like terms: 2x + 12x = 14x -2 + 14x = 8 + -12x + 12x Combine like terms: -12x + 12x = 0 -2 + 14x = 8 + 0 -2 + 14x = 8 Add '2' to each side of the equation. -2 + 2 + 14x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 14x = 8 + 2 14x = 8 + 2 Combine like terms: 8 + 2 = 10 14x = 10 Divide each side by '14'. x = 0.7142857143 Simplifying x = 0.7142857143
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