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Simplifying 3x + 4 + 14x = 10x + -6 Reorder the terms: 4 + 3x + 14x = 10x + -6 Combine like terms: 3x + 14x = 17x 4 + 17x = 10x + -6 Reorder the terms: 4 + 17x = -6 + 10x Solving 4 + 17x = -6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 4 + 17x + -10x = -6 + 10x + -10x Combine like terms: 17x + -10x = 7x 4 + 7x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 4 + 7x = -6 + 0 4 + 7x = -6 Add '-4' to each side of the equation. 4 + -4 + 7x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = -6 + -4 7x = -6 + -4 Combine like terms: -6 + -4 = -10 7x = -10 Divide each side by '7'. x = -1.428571429 Simplifying x = -1.428571429
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