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Simplifying 5x + 6 = 12 + 9x + -10 Reorder the terms: 6 + 5x = 12 + 9x + -10 Reorder the terms: 6 + 5x = 12 + -10 + 9x Combine like terms: 12 + -10 = 2 6 + 5x = 2 + 9x Solving 6 + 5x = 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 + 5x + -9x = 2 + 9x + -9x Combine like terms: 5x + -9x = -4x 6 + -4x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + -4x = 2 + 0 6 + -4x = 2 Add '-6' to each side of the equation. 6 + -6 + -4x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = 2 + -6 -4x = 2 + -6 Combine like terms: 2 + -6 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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