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Simplifying 3x + -2 = 2(4 + -2x) Reorder the terms: -2 + 3x = 2(4 + -2x) -2 + 3x = (4 * 2 + -2x * 2) -2 + 3x = (8 + -4x) Solving -2 + 3x = 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 + 3x + 4x = 8 + -4x + 4x Combine like terms: 3x + 4x = 7x -2 + 7x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 7x = 8 + 0 -2 + 7x = 8 Add '2' to each side of the equation. -2 + 2 + 7x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 8 + 2 7x = 8 + 2 Combine like terms: 8 + 2 = 10 7x = 10 Divide each side by '7'. x = 1.428571429 Simplifying x = 1.428571429
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