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Simplifying 47 = 6x + 2x + 7 Reorder the terms: 47 = 7 + 6x + 2x Combine like terms: 6x + 2x = 8x 47 = 7 + 8x Solving 47 = 7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 47 + -8x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 47 + -8x = 7 + 0 47 + -8x = 7 Add '-47' to each side of the equation. 47 + -47 + -8x = 7 + -47 Combine like terms: 47 + -47 = 0 0 + -8x = 7 + -47 -8x = 7 + -47 Combine like terms: 7 + -47 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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