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Simplifying 3x + 4 + 2x + -1 = 6 + -5x + 12 Reorder the terms: 4 + -1 + 3x + 2x = 6 + -5x + 12 Combine like terms: 4 + -1 = 3 3 + 3x + 2x = 6 + -5x + 12 Combine like terms: 3x + 2x = 5x 3 + 5x = 6 + -5x + 12 Reorder the terms: 3 + 5x = 6 + 12 + -5x Combine like terms: 6 + 12 = 18 3 + 5x = 18 + -5x Solving 3 + 5x = 18 + -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 + 5x + 5x = 18 + -5x + 5x Combine like terms: 5x + 5x = 10x 3 + 10x = 18 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + 10x = 18 + 0 3 + 10x = 18 Add '-3' to each side of the equation. 3 + -3 + 10x = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 10x = 18 + -3 10x = 18 + -3 Combine like terms: 18 + -3 = 15 10x = 15 Divide each side by '10'. x = 1.5 Simplifying x = 1.5
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