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Simplifying 6x + -14 + -9x + 11 = 12x + -16 Reorder the terms: -14 + 11 + 6x + -9x = 12x + -16 Combine like terms: -14 + 11 = -3 -3 + 6x + -9x = 12x + -16 Combine like terms: 6x + -9x = -3x -3 + -3x = 12x + -16 Reorder the terms: -3 + -3x = -16 + 12x Solving -3 + -3x = -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. -3 + -3x + -12x = -16 + 12x + -12x Combine like terms: -3x + -12x = -15x -3 + -15x = -16 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -15x = -16 + 0 -3 + -15x = -16 Add '3' to each side of the equation. -3 + 3 + -15x = -16 + 3 Combine like terms: -3 + 3 = 0 0 + -15x = -16 + 3 -15x = -16 + 3 Combine like terms: -16 + 3 = -13 -15x = -13 Divide each side by '-15'. x = 0.8666666667 Simplifying x = 0.8666666667
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