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Simplifying 10x + 14 + -3x = -6x + -30 + x Reorder the terms: 14 + 10x + -3x = -6x + -30 + x Combine like terms: 10x + -3x = 7x 14 + 7x = -6x + -30 + x Reorder the terms: 14 + 7x = -30 + -6x + x Combine like terms: -6x + x = -5x 14 + 7x = -30 + -5x Solving 14 + 7x = -30 + -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. 14 + 7x + 5x = -30 + -5x + 5x Combine like terms: 7x + 5x = 12x 14 + 12x = -30 + -5x + 5x Combine like terms: -5x + 5x = 0 14 + 12x = -30 + 0 14 + 12x = -30 Add '-14' to each side of the equation. 14 + -14 + 12x = -30 + -14 Combine like terms: 14 + -14 = 0 0 + 12x = -30 + -14 12x = -30 + -14 Combine like terms: -30 + -14 = -44 12x = -44 Divide each side by '12'. x = -3.666666667 Simplifying x = -3.666666667
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