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Simplifying 5x + -15 + 2x + 14 = -5x + -21 Reorder the terms: -15 + 14 + 5x + 2x = -5x + -21 Combine like terms: -15 + 14 = -1 -1 + 5x + 2x = -5x + -21 Combine like terms: 5x + 2x = 7x -1 + 7x = -5x + -21 Reorder the terms: -1 + 7x = -21 + -5x Solving -1 + 7x = -21 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -1 + 7x + 5x = -21 + -5x + 5x Combine like terms: 7x + 5x = 12x -1 + 12x = -21 + -5x + 5x Combine like terms: -5x + 5x = 0 -1 + 12x = -21 + 0 -1 + 12x = -21 Add '1' to each side of the equation. -1 + 1 + 12x = -21 + 1 Combine like terms: -1 + 1 = 0 0 + 12x = -21 + 1 12x = -21 + 1 Combine like terms: -21 + 1 = -20 12x = -20 Divide each side by '12'. x = -1.666666667 Simplifying x = -1.666666667
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