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Simplifying 5(3x + -2) + -1(x + -6) = 0 Reorder the terms: 5(-2 + 3x) + -1(x + -6) = 0 (-2 * 5 + 3x * 5) + -1(x + -6) = 0 (-10 + 15x) + -1(x + -6) = 0 Reorder the terms: -10 + 15x + -1(-6 + x) = 0 -10 + 15x + (-6 * -1 + x * -1) = 0 -10 + 15x + (6 + -1x) = 0 Reorder the terms: -10 + 6 + 15x + -1x = 0 Combine like terms: -10 + 6 = -4 -4 + 15x + -1x = 0 Combine like terms: 15x + -1x = 14x -4 + 14x = 0 Solving -4 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 14x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 14x = 0 + 4 14x = 0 + 4 Combine like terms: 0 + 4 = 4 14x = 4 Divide each side by '14'. x = 0.2857142857 Simplifying x = 0.2857142857
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