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Simplifying 2(2x + -4) = 3x + -6 Reorder the terms: 2(-4 + 2x) = 3x + -6 (-4 * 2 + 2x * 2) = 3x + -6 (-8 + 4x) = 3x + -6 Reorder the terms: -8 + 4x = -6 + 3x Solving -8 + 4x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -8 + 4x + -3x = -6 + 3x + -3x Combine like terms: 4x + -3x = 1x -8 + 1x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 1x = -6 + 0 -8 + 1x = -6 Add '8' to each side of the equation. -8 + 8 + 1x = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -6 + 8 1x = -6 + 8 Combine like terms: -6 + 8 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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