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Simplifying -7x + -13 = 4x + 20 Reorder the terms: -13 + -7x = 4x + 20 Reorder the terms: -13 + -7x = 20 + 4x Solving -13 + -7x = 20 + 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 = 20 + 4x + -4x Combine like terms: -7x + -4x = -11x -13 + -11x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + -11x = 20 + 0 -13 + -11x = 20 Add '13' to each side of the equation. -13 + 13 + -11x = 20 + 13 Combine like terms: -13 + 13 = 0 0 + -11x = 20 + 13 -11x = 20 + 13 Combine like terms: 20 + 13 = 33 -11x = 33 Divide each side by '-11'. x = -3 Simplifying x = -3
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