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Simplifying 13x + 53 = 20x + -17 Reorder the terms: 53 + 13x = 20x + -17 Reorder the terms: 53 + 13x = -17 + 20x Solving 53 + 13x = -17 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 53 + 13x + -20x = -17 + 20x + -20x Combine like terms: 13x + -20x = -7x 53 + -7x = -17 + 20x + -20x Combine like terms: 20x + -20x = 0 53 + -7x = -17 + 0 53 + -7x = -17 Add '-53' to each side of the equation. 53 + -53 + -7x = -17 + -53 Combine like terms: 53 + -53 = 0 0 + -7x = -17 + -53 -7x = -17 + -53 Combine like terms: -17 + -53 = -70 -7x = -70 Divide each side by '-7'. x = 10 Simplifying x = 10
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