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Simplifying 5x + 9 = 2x + -6 Reorder the terms: 9 + 5x = 2x + -6 Reorder the terms: 9 + 5x = -6 + 2x Solving 9 + 5x = -6 + 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 + 5x + -2x = -6 + 2x + -2x Combine like terms: 5x + -2x = 3x 9 + 3x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 3x = -6 + 0 9 + 3x = -6 Add '-9' to each side of the equation. 9 + -9 + 3x = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = -6 + -9 3x = -6 + -9 Combine like terms: -6 + -9 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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