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Simplifying -3x + 2 = -4x + 12 Reorder the terms: 2 + -3x = -4x + 12 Reorder the terms: 2 + -3x = 12 + -4x Solving 2 + -3x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 2 + -3x + 4x = 12 + -4x + 4x Combine like terms: -3x + 4x = 1x 2 + 1x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 1x = 12 + 0 2 + 1x = 12 Add '-2' to each side of the equation. 2 + -2 + 1x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 12 + -2 1x = 12 + -2 Combine like terms: 12 + -2 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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