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Simplifying 5x + 2 = -6 + 9x Reorder the terms: 2 + 5x = -6 + 9x Solving 2 + 5x = -6 + 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. 2 + 5x + -9x = -6 + 9x + -9x Combine like terms: 5x + -9x = -4x 2 + -4x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + -4x = -6 + 0 2 + -4x = -6 Add '-2' to each side of the equation. 2 + -2 + -4x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = -6 + -2 -4x = -6 + -2 Combine like terms: -6 + -2 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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