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Simplifying 13x + -7 = 5x + -47 Reorder the terms: -7 + 13x = 5x + -47 Reorder the terms: -7 + 13x = -47 + 5x Solving -7 + 13x = -47 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + 13x + -5x = -47 + 5x + -5x Combine like terms: 13x + -5x = 8x -7 + 8x = -47 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 8x = -47 + 0 -7 + 8x = -47 Add '7' to each side of the equation. -7 + 7 + 8x = -47 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = -47 + 7 8x = -47 + 7 Combine like terms: -47 + 7 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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