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Simplifying 2x + -7 + -5x = 13 + 3x + -30 Reorder the terms: -7 + 2x + -5x = 13 + 3x + -30 Combine like terms: 2x + -5x = -3x -7 + -3x = 13 + 3x + -30 Reorder the terms: -7 + -3x = 13 + -30 + 3x Combine like terms: 13 + -30 = -17 -7 + -3x = -17 + 3x Solving -7 + -3x = -17 + 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. -7 + -3x + -3x = -17 + 3x + -3x Combine like terms: -3x + -3x = -6x -7 + -6x = -17 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + -6x = -17 + 0 -7 + -6x = -17 Add '7' to each side of the equation. -7 + 7 + -6x = -17 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = -17 + 7 -6x = -17 + 7 Combine like terms: -17 + 7 = -10 -6x = -10 Divide each side by '-6'. x = 1.666666667 Simplifying x = 1.666666667
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