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Simplifying 5 + 10x + -6 = 12 + 9x Reorder the terms: 5 + -6 + 10x = 12 + 9x Combine like terms: 5 + -6 = -1 -1 + 10x = 12 + 9x Solving -1 + 10x = 12 + 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. -1 + 10x + -9x = 12 + 9x + -9x Combine like terms: 10x + -9x = 1x -1 + 1x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 -1 + 1x = 12 + 0 -1 + 1x = 12 Add '1' to each side of the equation. -1 + 1 + 1x = 12 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 12 + 1 1x = 12 + 1 Combine like terms: 12 + 1 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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