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Simplifying 3(x + -2) = 2(4 + -2x) Reorder the terms: 3(-2 + x) = 2(4 + -2x) (-2 * 3 + x * 3) = 2(4 + -2x) (-6 + 3x) = 2(4 + -2x) -6 + 3x = (4 * 2 + -2x * 2) -6 + 3x = (8 + -4x) Solving -6 + 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. -6 + 3x + 4x = 8 + -4x + 4x Combine like terms: 3x + 4x = 7x -6 + 7x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 7x = 8 + 0 -6 + 7x = 8 Add '6' to each side of the equation. -6 + 6 + 7x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 8 + 6 7x = 8 + 6 Combine like terms: 8 + 6 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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