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Simplifying 47 = x + 2x + -6 + x + 5 Reorder the terms: 47 = -6 + 5 + x + 2x + x Combine like terms: -6 + 5 = -1 47 = -1 + x + 2x + x Combine like terms: x + 2x = 3x 47 = -1 + 3x + x Combine like terms: 3x + x = 4x 47 = -1 + 4x Solving 47 = -1 + 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 + -4x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 47 + -4x = -1 + 0 47 + -4x = -1 Add '-47' to each side of the equation. 47 + -47 + -4x = -1 + -47 Combine like terms: 47 + -47 = 0 0 + -4x = -1 + -47 -4x = -1 + -47 Combine like terms: -1 + -47 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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