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Simplifying 5x + 47 = 14x + -45 Reorder the terms: 47 + 5x = 14x + -45 Reorder the terms: 47 + 5x = -45 + 14x Solving 47 + 5x = -45 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 47 + 5x + -14x = -45 + 14x + -14x Combine like terms: 5x + -14x = -9x 47 + -9x = -45 + 14x + -14x Combine like terms: 14x + -14x = 0 47 + -9x = -45 + 0 47 + -9x = -45 Add '-47' to each side of the equation. 47 + -47 + -9x = -45 + -47 Combine like terms: 47 + -47 = 0 0 + -9x = -45 + -47 -9x = -45 + -47 Combine like terms: -45 + -47 = -92 -9x = -92 Divide each side by '-9'. x = 10.22222222 Simplifying x = 10.22222222
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