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Simplifying 9x + -13 = 12x + 16 Reorder the terms: -13 + 9x = 12x + 16 Reorder the terms: -13 + 9x = 16 + 12x Solving -13 + 9x = 16 + 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. -13 + 9x + -12x = 16 + 12x + -12x Combine like terms: 9x + -12x = -3x -13 + -3x = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 -13 + -3x = 16 + 0 -13 + -3x = 16 Add '13' to each side of the equation. -13 + 13 + -3x = 16 + 13 Combine like terms: -13 + 13 = 0 0 + -3x = 16 + 13 -3x = 16 + 13 Combine like terms: 16 + 13 = 29 -3x = 29 Divide each side by '-3'. x = -9.666666667 Simplifying x = -9.666666667
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