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Simplifying 3x + 2x + -13 = 7x + -1 + 4x Reorder the terms: -13 + 3x + 2x = 7x + -1 + 4x Combine like terms: 3x + 2x = 5x -13 + 5x = 7x + -1 + 4x Reorder the terms: -13 + 5x = -1 + 7x + 4x Combine like terms: 7x + 4x = 11x -13 + 5x = -1 + 11x Solving -13 + 5x = -1 + 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. -13 + 5x + -11x = -1 + 11x + -11x Combine like terms: 5x + -11x = -6x -13 + -6x = -1 + 11x + -11x Combine like terms: 11x + -11x = 0 -13 + -6x = -1 + 0 -13 + -6x = -1 Add '13' to each side of the equation. -13 + 13 + -6x = -1 + 13 Combine like terms: -13 + 13 = 0 0 + -6x = -1 + 13 -6x = -1 + 13 Combine like terms: -1 + 13 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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