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Simplifying 2(2x + -3) = 3(4 + -2x) + 2 Reorder the terms: 2(-3 + 2x) = 3(4 + -2x) + 2 (-3 * 2 + 2x * 2) = 3(4 + -2x) + 2 (-6 + 4x) = 3(4 + -2x) + 2 -6 + 4x = (4 * 3 + -2x * 3) + 2 -6 + 4x = (12 + -6x) + 2 Reorder the terms: -6 + 4x = 12 + 2 + -6x Combine like terms: 12 + 2 = 14 -6 + 4x = 14 + -6x Solving -6 + 4x = 14 + -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. -6 + 4x + 6x = 14 + -6x + 6x Combine like terms: 4x + 6x = 10x -6 + 10x = 14 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 10x = 14 + 0 -6 + 10x = 14 Add '6' to each side of the equation. -6 + 6 + 10x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = 14 + 6 10x = 14 + 6 Combine like terms: 14 + 6 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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