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Simplifying 6x + 35 = 13x + -35 Reorder the terms: 35 + 6x = 13x + -35 Reorder the terms: 35 + 6x = -35 + 13x Solving 35 + 6x = -35 + 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. 35 + 6x + -13x = -35 + 13x + -13x Combine like terms: 6x + -13x = -7x 35 + -7x = -35 + 13x + -13x Combine like terms: 13x + -13x = 0 35 + -7x = -35 + 0 35 + -7x = -35 Add '-35' to each side of the equation. 35 + -35 + -7x = -35 + -35 Combine like terms: 35 + -35 = 0 0 + -7x = -35 + -35 -7x = -35 + -35 Combine like terms: -35 + -35 = -70 -7x = -70 Divide each side by '-7'. x = 10 Simplifying x = 10
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