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Simplifying 5x + 7 = x + 47 Reorder the terms: 7 + 5x = x + 47 Reorder the terms: 7 + 5x = 47 + x Solving 7 + 5x = 47 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + 5x + -1x = 47 + x + -1x Combine like terms: 5x + -1x = 4x 7 + 4x = 47 + x + -1x Combine like terms: x + -1x = 0 7 + 4x = 47 + 0 7 + 4x = 47 Add '-7' to each side of the equation. 7 + -7 + 4x = 47 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 47 + -7 4x = 47 + -7 Combine like terms: 47 + -7 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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