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Simplifying 6x + 53 = x + 83 Reorder the terms: 53 + 6x = x + 83 Reorder the terms: 53 + 6x = 83 + x Solving 53 + 6x = 83 + 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. 53 + 6x + -1x = 83 + x + -1x Combine like terms: 6x + -1x = 5x 53 + 5x = 83 + x + -1x Combine like terms: x + -1x = 0 53 + 5x = 83 + 0 53 + 5x = 83 Add '-53' to each side of the equation. 53 + -53 + 5x = 83 + -53 Combine like terms: 53 + -53 = 0 0 + 5x = 83 + -53 5x = 83 + -53 Combine like terms: 83 + -53 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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