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Simplifying 7x + -9x + 2 = 5x + -6 Reorder the terms: 2 + 7x + -9x = 5x + -6 Combine like terms: 7x + -9x = -2x 2 + -2x = 5x + -6 Reorder the terms: 2 + -2x = -6 + 5x Solving 2 + -2x = -6 + 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. 2 + -2x + -5x = -6 + 5x + -5x Combine like terms: -2x + -5x = -7x 2 + -7x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -7x = -6 + 0 2 + -7x = -6 Add '-2' to each side of the equation. 2 + -2 + -7x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = -6 + -2 -7x = -6 + -2 Combine like terms: -6 + -2 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143
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