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Simplifying 6x + -53 = 101 + -5x Reorder the terms: -53 + 6x = 101 + -5x Solving -53 + 6x = 101 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -53 + 6x + 5x = 101 + -5x + 5x Combine like terms: 6x + 5x = 11x -53 + 11x = 101 + -5x + 5x Combine like terms: -5x + 5x = 0 -53 + 11x = 101 + 0 -53 + 11x = 101 Add '53' to each side of the equation. -53 + 53 + 11x = 101 + 53 Combine like terms: -53 + 53 = 0 0 + 11x = 101 + 53 11x = 101 + 53 Combine like terms: 101 + 53 = 154 11x = 154 Divide each side by '11'. x = 14 Simplifying x = 14
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