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Simplifying 3 + -6x + 6 = 2x + -7 Reorder the terms: 3 + 6 + -6x = 2x + -7 Combine like terms: 3 + 6 = 9 9 + -6x = 2x + -7 Reorder the terms: 9 + -6x = -7 + 2x Solving 9 + -6x = -7 + 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. 9 + -6x + -2x = -7 + 2x + -2x Combine like terms: -6x + -2x = -8x 9 + -8x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + -8x = -7 + 0 9 + -8x = -7 Add '-9' to each side of the equation. 9 + -9 + -8x = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = -7 + -9 -8x = -7 + -9 Combine like terms: -7 + -9 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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