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Simplifying 2x + 47 = 9x + 54 Reorder the terms: 47 + 2x = 9x + 54 Reorder the terms: 47 + 2x = 54 + 9x Solving 47 + 2x = 54 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 47 + 2x + -9x = 54 + 9x + -9x Combine like terms: 2x + -9x = -7x 47 + -7x = 54 + 9x + -9x Combine like terms: 9x + -9x = 0 47 + -7x = 54 + 0 47 + -7x = 54 Add '-47' to each side of the equation. 47 + -47 + -7x = 54 + -47 Combine like terms: 47 + -47 = 0 0 + -7x = 54 + -47 -7x = 54 + -47 Combine like terms: 54 + -47 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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