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Simplifying 6x + -47 = 4x + -31 Reorder the terms: -47 + 6x = 4x + -31 Reorder the terms: -47 + 6x = -31 + 4x Solving -47 + 6x = -31 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -47 + 6x + -4x = -31 + 4x + -4x Combine like terms: 6x + -4x = 2x -47 + 2x = -31 + 4x + -4x Combine like terms: 4x + -4x = 0 -47 + 2x = -31 + 0 -47 + 2x = -31 Add '47' to each side of the equation. -47 + 47 + 2x = -31 + 47 Combine like terms: -47 + 47 = 0 0 + 2x = -31 + 47 2x = -31 + 47 Combine like terms: -31 + 47 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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