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Simplifying 47 + -2x = 7x + 16 Reorder the terms: 47 + -2x = 16 + 7x Solving 47 + -2x = 16 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 47 + -2x + -7x = 16 + 7x + -7x Combine like terms: -2x + -7x = -9x 47 + -9x = 16 + 7x + -7x Combine like terms: 7x + -7x = 0 47 + -9x = 16 + 0 47 + -9x = 16 Add '-47' to each side of the equation. 47 + -47 + -9x = 16 + -47 Combine like terms: 47 + -47 = 0 0 + -9x = 16 + -47 -9x = 16 + -47 Combine like terms: 16 + -47 = -31 -9x = -31 Divide each side by '-9'. x = 3.444444444 Simplifying x = 3.444444444
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