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Simplifying 2x + -47 = 6x + 61 Reorder the terms: -47 + 2x = 6x + 61 Reorder the terms: -47 + 2x = 61 + 6x Solving -47 + 2x = 61 + 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. -47 + 2x + -6x = 61 + 6x + -6x Combine like terms: 2x + -6x = -4x -47 + -4x = 61 + 6x + -6x Combine like terms: 6x + -6x = 0 -47 + -4x = 61 + 0 -47 + -4x = 61 Add '47' to each side of the equation. -47 + 47 + -4x = 61 + 47 Combine like terms: -47 + 47 = 0 0 + -4x = 61 + 47 -4x = 61 + 47 Combine like terms: 61 + 47 = 108 -4x = 108 Divide each side by '-4'. x = -27 Simplifying x = -27
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