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Simplifying 3x + 9 + -6 + 4x = 2x + -9 + 4 + 3 + 10x Reorder the terms: 9 + -6 + 3x + 4x = 2x + -9 + 4 + 3 + 10x Combine like terms: 9 + -6 = 3 3 + 3x + 4x = 2x + -9 + 4 + 3 + 10x Combine like terms: 3x + 4x = 7x 3 + 7x = 2x + -9 + 4 + 3 + 10x Reorder the terms: 3 + 7x = -9 + 4 + 3 + 2x + 10x Combine like terms: -9 + 4 = -5 3 + 7x = -5 + 3 + 2x + 10x Combine like terms: -5 + 3 = -2 3 + 7x = -2 + 2x + 10x Combine like terms: 2x + 10x = 12x 3 + 7x = -2 + 12x Solving 3 + 7x = -2 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 3 + 7x + -12x = -2 + 12x + -12x Combine like terms: 7x + -12x = -5x 3 + -5x = -2 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + -5x = -2 + 0 3 + -5x = -2 Add '-3' to each side of the equation. 3 + -3 + -5x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = -2 + -3 -5x = -2 + -3 Combine like terms: -2 + -3 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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