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Simplifying -7x + 5 = -47 + 6x Reorder the terms: 5 + -7x = -47 + 6x Solving 5 + -7x = -47 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5 + -7x + -6x = -47 + 6x + -6x Combine like terms: -7x + -6x = -13x 5 + -13x = -47 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -13x = -47 + 0 5 + -13x = -47 Add '-5' to each side of the equation. 5 + -5 + -13x = -47 + -5 Combine like terms: 5 + -5 = 0 0 + -13x = -47 + -5 -13x = -47 + -5 Combine like terms: -47 + -5 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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