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Simplifying 7 + x = -5x + -47 Reorder the terms: 7 + x = -47 + -5x Solving 7 + x = -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 + x + 5x = -47 + -5x + 5x Combine like terms: x + 5x = 6x 7 + 6x = -47 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + 6x = -47 + 0 7 + 6x = -47 Add '-7' to each side of the equation. 7 + -7 + 6x = -47 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = -47 + -7 6x = -47 + -7 Combine like terms: -47 + -7 = -54 6x = -54 Divide each side by '6'. x = -9 Simplifying x = -9
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