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Simplifying 6x + 17 = 13x + -53 Reorder the terms: 17 + 6x = 13x + -53 Reorder the terms: 17 + 6x = -53 + 13x Solving 17 + 6x = -53 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 17 + 6x + -13x = -53 + 13x + -13x Combine like terms: 6x + -13x = -7x 17 + -7x = -53 + 13x + -13x Combine like terms: 13x + -13x = 0 17 + -7x = -53 + 0 17 + -7x = -53 Add '-17' to each side of the equation. 17 + -17 + -7x = -53 + -17 Combine like terms: 17 + -17 = 0 0 + -7x = -53 + -17 -7x = -53 + -17 Combine like terms: -53 + -17 = -70 -7x = -70 Divide each side by '-7'. x = 10 Simplifying x = 10
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