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Simplifying -3x + 1 = -47 + 3x Reorder the terms: 1 + -3x = -47 + 3x Solving 1 + -3x = -47 + 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. 1 + -3x + -3x = -47 + 3x + -3x Combine like terms: -3x + -3x = -6x 1 + -6x = -47 + 3x + -3x Combine like terms: 3x + -3x = 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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