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Simplifying 2(2x + -4) + 6 = 2 + 3x Reorder the terms: 2(-4 + 2x) + 6 = 2 + 3x (-4 * 2 + 2x * 2) + 6 = 2 + 3x (-8 + 4x) + 6 = 2 + 3x Reorder the terms: -8 + 6 + 4x = 2 + 3x Combine like terms: -8 + 6 = -2 -2 + 4x = 2 + 3x Solving -2 + 4x = 2 + 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. -2 + 4x + -3x = 2 + 3x + -3x Combine like terms: 4x + -3x = 1x -2 + 1x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 1x = 2 + 0 -2 + 1x = 2 Add '2' to each side of the equation. -2 + 2 + 1x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 2 + 2 1x = 2 + 2 Combine like terms: 2 + 2 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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