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Simplifying 47 + -5x = 3x + -7 Reorder the terms: 47 + -5x = -7 + 3x Solving 47 + -5x = -7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 47 + -5x + -3x = -7 + 3x + -3x Combine like terms: -5x + -3x = -8x 47 + -8x = -7 + 3x + -3x Combine like terms: 3x + -3x = 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 = -54 -8x = -54 Divide each side by '-8'. x = 6.75 Simplifying x = 6.75
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