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Simplifying -47 + -3x = 6x + 14 Reorder the terms: -47 + -3x = 14 + 6x Solving -47 + -3x = 14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -47 + -3x + -6x = 14 + 6x + -6x Combine like terms: -3x + -6x = -9x -47 + -9x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 -47 + -9x = 14 + 0 -47 + -9x = 14 Add '47' to each side of the equation. -47 + 47 + -9x = 14 + 47 Combine like terms: -47 + 47 = 0 0 + -9x = 14 + 47 -9x = 14 + 47 Combine like terms: 14 + 47 = 61 -9x = 61 Divide each side by '-9'. x = -6.777777778 Simplifying x = -6.777777778
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