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Simplifying 13x + 49 + -2x = 30 + 7x + -43 Reorder the terms: 49 + 13x + -2x = 30 + 7x + -43 Combine like terms: 13x + -2x = 11x 49 + 11x = 30 + 7x + -43 Reorder the terms: 49 + 11x = 30 + -43 + 7x Combine like terms: 30 + -43 = -13 49 + 11x = -13 + 7x Solving 49 + 11x = -13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 49 + 11x + -7x = -13 + 7x + -7x Combine like terms: 11x + -7x = 4x 49 + 4x = -13 + 7x + -7x Combine like terms: 7x + -7x = 0 49 + 4x = -13 + 0 49 + 4x = -13 Add '-49' to each side of the equation. 49 + -49 + 4x = -13 + -49 Combine like terms: 49 + -49 = 0 0 + 4x = -13 + -49 4x = -13 + -49 Combine like terms: -13 + -49 = -62 4x = -62 Divide each side by '4'. x = -15.5 Simplifying x = -15.5
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