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Simplifying 4 + 7x = 52 + x Solving 4 + 7x = 52 + 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. 4 + 7x + -1x = 52 + x + -1x Combine like terms: 7x + -1x = 6x 4 + 6x = 52 + x + -1x Combine like terms: x + -1x = 0 4 + 6x = 52 + 0 4 + 6x = 52 Add '-4' to each side of the equation. 4 + -4 + 6x = 52 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 52 + -4 6x = 52 + -4 Combine like terms: 52 + -4 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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