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Simplifying 5x + 1 = -47 + x Reorder the terms: 1 + 5x = -47 + x Solving 1 + 5x = -47 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + 5x + -1x = -47 + x + -1x Combine like terms: 5x + -1x = 4x 1 + 4x = -47 + x + -1x Combine like terms: x + -1x = 0 1 + 4x = -47 + 0 1 + 4x = -47 Add '-1' to each side of the equation. 1 + -1 + 4x = -47 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = -47 + -1 4x = -47 + -1 Combine like terms: -47 + -1 = -48 4x = -48 Divide each side by '4'. x = -12 Simplifying x = -12
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