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Simplifying 4x + 35 = 11x + -21 Reorder the terms: 35 + 4x = 11x + -21 Reorder the terms: 35 + 4x = -21 + 11x Solving 35 + 4x = -21 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 35 + 4x + -11x = -21 + 11x + -11x Combine like terms: 4x + -11x = -7x 35 + -7x = -21 + 11x + -11x Combine like terms: 11x + -11x = 0 35 + -7x = -21 + 0 35 + -7x = -21 Add '-35' to each side of the equation. 35 + -35 + -7x = -21 + -35 Combine like terms: 35 + -35 = 0 0 + -7x = -21 + -35 -7x = -21 + -35 Combine like terms: -21 + -35 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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