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Simplifying x + 6 = -2x + 9 Reorder the terms: 6 + x = -2x + 9 Reorder the terms: 6 + x = 9 + -2x Solving 6 + x = 9 + -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. 6 + x + 2x = 9 + -2x + 2x Combine like terms: x + 2x = 3x 6 + 3x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 3x = 9 + 0 6 + 3x = 9 Add '-6' to each side of the equation. 6 + -6 + 3x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 9 + -6 3x = 9 + -6 Combine like terms: 9 + -6 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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