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Simplifying 47 + -3x = 6x + 17 Reorder the terms: 47 + -3x = 17 + 6x Solving 47 + -3x = 17 + 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 = 17 + 6x + -6x Combine like terms: -3x + -6x = -9x 47 + -9x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 47 + -9x = 17 + 0 47 + -9x = 17 Add '-47' to each side of the equation. 47 + -47 + -9x = 17 + -47 Combine like terms: 47 + -47 = 0 0 + -9x = 17 + -47 -9x = 17 + -47 Combine like terms: 17 + -47 = -30 -9x = -30 Divide each side by '-9'. x = 3.333333333 Simplifying x = 3.333333333
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