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Simplifying -2x + -13 + 5x = -3x + 11 + -2 Reorder the terms: -13 + -2x + 5x = -3x + 11 + -2 Combine like terms: -2x + 5x = 3x -13 + 3x = -3x + 11 + -2 Reorder the terms: -13 + 3x = 11 + -2 + -3x Combine like terms: 11 + -2 = 9 -13 + 3x = 9 + -3x Solving -13 + 3x = 9 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -13 + 3x + 3x = 9 + -3x + 3x Combine like terms: 3x + 3x = 6x -13 + 6x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 -13 + 6x = 9 + 0 -13 + 6x = 9 Add '13' to each side of the equation. -13 + 13 + 6x = 9 + 13 Combine like terms: -13 + 13 = 0 0 + 6x = 9 + 13 6x = 9 + 13 Combine like terms: 9 + 13 = 22 6x = 22 Divide each side by '6'. x = 3.666666667 Simplifying x = 3.666666667
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