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Simplifying 14x + 10(x + 6) + -2(x + 10) = 0 Reorder the terms: 14x + 10(6 + x) + -2(x + 10) = 0 14x + (6 * 10 + x * 10) + -2(x + 10) = 0 14x + (60 + 10x) + -2(x + 10) = 0 Reorder the terms: 14x + 60 + 10x + -2(10 + x) = 0 14x + 60 + 10x + (10 * -2 + x * -2) = 0 14x + 60 + 10x + (-20 + -2x) = 0 Reorder the terms: 60 + -20 + 14x + 10x + -2x = 0 Combine like terms: 60 + -20 = 40 40 + 14x + 10x + -2x = 0 Combine like terms: 14x + 10x = 24x 40 + 24x + -2x = 0 Combine like terms: 24x + -2x = 22x 40 + 22x = 0 Solving 40 + 22x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 22x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 22x = 0 + -40 22x = 0 + -40 Combine like terms: 0 + -40 = -40 22x = -40 Divide each side by '22'. x = -1.818181818 Simplifying x = -1.818181818
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