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Simplifying 3x + 47 = 7x + 11 Reorder the terms: 47 + 3x = 7x + 11 Reorder the terms: 47 + 3x = 11 + 7x Solving 47 + 3x = 11 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 47 + 3x + -7x = 11 + 7x + -7x Combine like terms: 3x + -7x = -4x 47 + -4x = 11 + 7x + -7x Combine like terms: 7x + -7x = 0 47 + -4x = 11 + 0 47 + -4x = 11 Add '-47' to each side of the equation. 47 + -47 + -4x = 11 + -47 Combine like terms: 47 + -47 = 0 0 + -4x = 11 + -47 -4x = 11 + -47 Combine like terms: 11 + -47 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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