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Simplifying 7x + -35 + -3x = 2x + -13 Reorder the terms: -35 + 7x + -3x = 2x + -13 Combine like terms: 7x + -3x = 4x -35 + 4x = 2x + -13 Reorder the terms: -35 + 4x = -13 + 2x Solving -35 + 4x = -13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -35 + 4x + -2x = -13 + 2x + -2x Combine like terms: 4x + -2x = 2x -35 + 2x = -13 + 2x + -2x Combine like terms: 2x + -2x = 0 -35 + 2x = -13 + 0 -35 + 2x = -13 Add '35' to each side of the equation. -35 + 35 + 2x = -13 + 35 Combine like terms: -35 + 35 = 0 0 + 2x = -13 + 35 2x = -13 + 35 Combine like terms: -13 + 35 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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