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Simplifying 4x + 1 = -47 + -2x Reorder the terms: 1 + 4x = -47 + -2x Solving 1 + 4x = -47 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 1 + 4x + 2x = -47 + -2x + 2x Combine like terms: 4x + 2x = 6x 1 + 6x = -47 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 6x = -47 + 0 1 + 6x = -47 Add '-1' to each side of the equation. 1 + -1 + 6x = -47 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = -47 + -1 6x = -47 + -1 Combine like terms: -47 + -1 = -48 6x = -48 Divide each side by '6'. x = -8 Simplifying x = -8
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