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Simplifying -47 + 7x = 12x + 58 Reorder the terms: -47 + 7x = 58 + 12x Solving -47 + 7x = 58 + 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 + 7x + -12x = 58 + 12x + -12x Combine like terms: 7x + -12x = -5x -47 + -5x = 58 + 12x + -12x Combine like terms: 12x + -12x = 0 -47 + -5x = 58 + 0 -47 + -5x = 58 Add '47' to each side of the equation. -47 + 47 + -5x = 58 + 47 Combine like terms: -47 + 47 = 0 0 + -5x = 58 + 47 -5x = 58 + 47 Combine like terms: 58 + 47 = 105 -5x = 105 Divide each side by '-5'. x = -21 Simplifying x = -21
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