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Simplifying 7x + 13 = 35 + -4x Reorder the terms: 13 + 7x = 35 + -4x Solving 13 + 7x = 35 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 13 + 7x + 4x = 35 + -4x + 4x Combine like terms: 7x + 4x = 11x 13 + 11x = 35 + -4x + 4x Combine like terms: -4x + 4x = 0 13 + 11x = 35 + 0 13 + 11x = 35 Add '-13' to each side of the equation. 13 + -13 + 11x = 35 + -13 Combine like terms: 13 + -13 = 0 0 + 11x = 35 + -13 11x = 35 + -13 Combine like terms: 35 + -13 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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