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Simplifying 5x + 47 = 12x + -72 Reorder the terms: 47 + 5x = 12x + -72 Reorder the terms: 47 + 5x = -72 + 12x Solving 47 + 5x = -72 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 47 + 5x + -12x = -72 + 12x + -12x Combine like terms: 5x + -12x = -7x 47 + -7x = -72 + 12x + -12x Combine like terms: 12x + -12x = 0 47 + -7x = -72 + 0 47 + -7x = -72 Add '-47' to each side of the equation. 47 + -47 + -7x = -72 + -47 Combine like terms: 47 + -47 = 0 0 + -7x = -72 + -47 -7x = -72 + -47 Combine like terms: -72 + -47 = -119 -7x = -119 Divide each side by '-7'. x = 17 Simplifying x = 17
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