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Simplifying 12x + -5 = 9x + -2 + 40 Reorder the terms: -5 + 12x = 9x + -2 + 40 Reorder the terms: -5 + 12x = -2 + 40 + 9x Combine like terms: -2 + 40 = 38 -5 + 12x = 38 + 9x Solving -5 + 12x = 38 + 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. -5 + 12x + -9x = 38 + 9x + -9x Combine like terms: 12x + -9x = 3x -5 + 3x = 38 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + 3x = 38 + 0 -5 + 3x = 38 Add '5' to each side of the equation. -5 + 5 + 3x = 38 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 38 + 5 3x = 38 + 5 Combine like terms: 38 + 5 = 43 3x = 43 Divide each side by '3'. x = 14.33333333 Simplifying x = 14.33333333
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