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Simplifying 4x + -2 = 3x + 6 + 12 Reorder the terms: -2 + 4x = 3x + 6 + 12 Reorder the terms: -2 + 4x = 6 + 12 + 3x Combine like terms: 6 + 12 = 18 -2 + 4x = 18 + 3x Solving -2 + 4x = 18 + 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 = 18 + 3x + -3x Combine like terms: 4x + -3x = 1x -2 + 1x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 1x = 18 + 0 -2 + 1x = 18 Add '2' to each side of the equation. -2 + 2 + 1x = 18 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 18 + 2 1x = 18 + 2 Combine like terms: 18 + 2 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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