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