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Simplifying 5 + 9x = 12x + 7 Reorder the terms: 5 + 9x = 7 + 12x Solving 5 + 9x = 7 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 5 + 9x + -12x = 7 + 12x + -12x Combine like terms: 9x + -12x = -3x 5 + -3x = 7 + 12x + -12x Combine like terms: 12x + -12x = 0 5 + -3x = 7 + 0 5 + -3x = 7 Add '-5' to each side of the equation. 5 + -5 + -3x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 7 + -5 -3x = 7 + -5 Combine like terms: 7 + -5 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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