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Simplifying 7x + 47 = 3x + 23 Reorder the terms: 47 + 7x = 3x + 23 Reorder the terms: 47 + 7x = 23 + 3x Solving 47 + 7x = 23 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 47 + 7x + -3x = 23 + 3x + -3x Combine like terms: 7x + -3x = 4x 47 + 4x = 23 + 3x + -3x Combine like terms: 3x + -3x = 0 47 + 4x = 23 + 0 47 + 4x = 23 Add '-47' to each side of the equation. 47 + -47 + 4x = 23 + -47 Combine like terms: 47 + -47 = 0 0 + 4x = 23 + -47 4x = 23 + -47 Combine like terms: 23 + -47 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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