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Simplifying 2(3x + -4) = x + 2 Reorder the terms: 2(-4 + 3x) = x + 2 (-4 * 2 + 3x * 2) = x + 2 (-8 + 6x) = x + 2 Reorder the terms: -8 + 6x = 2 + x Solving -8 + 6x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + 6x + -1x = 2 + x + -1x Combine like terms: 6x + -1x = 5x -8 + 5x = 2 + x + -1x Combine like terms: x + -1x = 0 -8 + 5x = 2 + 0 -8 + 5x = 2 Add '8' to each side of the equation. -8 + 8 + 5x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = 2 + 8 5x = 2 + 8 Combine like terms: 2 + 8 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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