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