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Simplifying 6x + -5 + 3x + -7 = 2x + 9 Reorder the terms: -5 + -7 + 6x + 3x = 2x + 9 Combine like terms: -5 + -7 = -12 -12 + 6x + 3x = 2x + 9 Combine like terms: 6x + 3x = 9x -12 + 9x = 2x + 9 Reorder the terms: -12 + 9x = 9 + 2x Solving -12 + 9x = 9 + 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. -12 + 9x + -2x = 9 + 2x + -2x Combine like terms: 9x + -2x = 7x -12 + 7x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 7x = 9 + 0 -12 + 7x = 9 Add '12' to each side of the equation. -12 + 12 + 7x = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 9 + 12 7x = 9 + 12 Combine like terms: 9 + 12 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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