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Simplifying 5x + 35 = 14x + -53 Reorder the terms: 35 + 5x = 14x + -53 Reorder the terms: 35 + 5x = -53 + 14x Solving 35 + 5x = -53 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 35 + 5x + -14x = -53 + 14x + -14x Combine like terms: 5x + -14x = -9x 35 + -9x = -53 + 14x + -14x Combine like terms: 14x + -14x = 0 35 + -9x = -53 + 0 35 + -9x = -53 Add '-35' to each side of the equation. 35 + -35 + -9x = -53 + -35 Combine like terms: 35 + -35 = 0 0 + -9x = -53 + -35 -9x = -53 + -35 Combine like terms: -53 + -35 = -88 -9x = -88 Divide each side by '-9'. x = 9.777777778 Simplifying x = 9.777777778
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