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Simplifying -3x + -47 = 5x + -7 Reorder the terms: -47 + -3x = 5x + -7 Reorder the terms: -47 + -3x = -7 + 5x Solving -47 + -3x = -7 + 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. -47 + -3x + -5x = -7 + 5x + -5x Combine like terms: -3x + -5x = -8x -47 + -8x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -47 + -8x = -7 + 0 -47 + -8x = -7 Add '47' to each side of the equation. -47 + 47 + -8x = -7 + 47 Combine like terms: -47 + 47 = 0 0 + -8x = -7 + 47 -8x = -7 + 47 Combine like terms: -7 + 47 = 40 -8x = 40 Divide each side by '-8'. x = -5 Simplifying x = -5
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