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Simplifying 4x + 6 + -3x = 12 + -2x Reorder the terms: 6 + 4x + -3x = 12 + -2x Combine like terms: 4x + -3x = 1x 6 + 1x = 12 + -2x Solving 6 + 1x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + 1x + 2x = 12 + -2x + 2x Combine like terms: 1x + 2x = 3x 6 + 3x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 3x = 12 + 0 6 + 3x = 12 Add '-6' to each side of the equation. 6 + -6 + 3x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 12 + -6 3x = 12 + -6 Combine like terms: 12 + -6 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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