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Simplifying 6x + 7(3x + -2) + -10 = 0 Reorder the terms: 6x + 7(-2 + 3x) + -10 = 0 6x + (-2 * 7 + 3x * 7) + -10 = 0 6x + (-14 + 21x) + -10 = 0 Reorder the terms: -14 + -10 + 6x + 21x = 0 Combine like terms: -14 + -10 = -24 -24 + 6x + 21x = 0 Combine like terms: 6x + 21x = 27x -24 + 27x = 0 Solving -24 + 27x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 27x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 27x = 0 + 24 27x = 0 + 24 Combine like terms: 0 + 24 = 24 27x = 24 Divide each side by '27'. x = 0.8888888889 Simplifying x = 0.8888888889
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