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Simplifying -3x + 47 = 5x + 100 Reorder the terms: 47 + -3x = 5x + 100 Reorder the terms: 47 + -3x = 100 + 5x Solving 47 + -3x = 100 + 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 = 100 + 5x + -5x Combine like terms: -3x + -5x = -8x 47 + -8x = 100 + 5x + -5x Combine like terms: 5x + -5x = 0 47 + -8x = 100 + 0 47 + -8x = 100 Add '-47' to each side of the equation. 47 + -47 + -8x = 100 + -47 Combine like terms: 47 + -47 = 0 0 + -8x = 100 + -47 -8x = 100 + -47 Combine like terms: 100 + -47 = 53 -8x = 53 Divide each side by '-8'. x = -6.625 Simplifying x = -6.625
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