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Simplifying 2x + 7 + -5x = 6x + 3x + -9 Reorder the terms: 7 + 2x + -5x = 6x + 3x + -9 Combine like terms: 2x + -5x = -3x 7 + -3x = 6x + 3x + -9 Reorder the terms: 7 + -3x = -9 + 6x + 3x Combine like terms: 6x + 3x = 9x 7 + -3x = -9 + 9x Solving 7 + -3x = -9 + 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. 7 + -3x + -9x = -9 + 9x + -9x Combine like terms: -3x + -9x = -12x 7 + -12x = -9 + 9x + -9x Combine like terms: 9x + -9x = 0 7 + -12x = -9 + 0 7 + -12x = -9 Add '-7' to each side of the equation. 7 + -7 + -12x = -9 + -7 Combine like terms: 7 + -7 = 0 0 + -12x = -9 + -7 -12x = -9 + -7 Combine like terms: -9 + -7 = -16 -12x = -16 Divide each side by '-12'. x = 1.333333333 Simplifying x = 1.333333333
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