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Simplifying 2x + 6 + 4x + -3 = 5x + 12 Reorder the terms: 6 + -3 + 2x + 4x = 5x + 12 Combine like terms: 6 + -3 = 3 3 + 2x + 4x = 5x + 12 Combine like terms: 2x + 4x = 6x 3 + 6x = 5x + 12 Reorder the terms: 3 + 6x = 12 + 5x Solving 3 + 6x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3 + 6x + -5x = 12 + 5x + -5x Combine like terms: 6x + -5x = 1x 3 + 1x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + 1x = 12 + 0 3 + 1x = 12 Add '-3' to each side of the equation. 3 + -3 + 1x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 12 + -3 1x = 12 + -3 Combine like terms: 12 + -3 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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