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Simplifying 6x + 7 + -2x + -12 = 9x + 15 Reorder the terms: 7 + -12 + 6x + -2x = 9x + 15 Combine like terms: 7 + -12 = -5 -5 + 6x + -2x = 9x + 15 Combine like terms: 6x + -2x = 4x -5 + 4x = 9x + 15 Reorder the terms: -5 + 4x = 15 + 9x Solving -5 + 4x = 15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -5 + 4x + -9x = 15 + 9x + -9x Combine like terms: 4x + -9x = -5x -5 + -5x = 15 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + -5x = 15 + 0 -5 + -5x = 15 Add '5' to each side of the equation. -5 + 5 + -5x = 15 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = 15 + 5 -5x = 15 + 5 Combine like terms: 15 + 5 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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