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Simplifying 5(3x + -4) + -1(x + -6) = 0 Reorder the terms: 5(-4 + 3x) + -1(x + -6) = 0 (-4 * 5 + 3x * 5) + -1(x + -6) = 0 (-20 + 15x) + -1(x + -6) = 0 Reorder the terms: -20 + 15x + -1(-6 + x) = 0 -20 + 15x + (-6 * -1 + x * -1) = 0 -20 + 15x + (6 + -1x) = 0 Reorder the terms: -20 + 6 + 15x + -1x = 0 Combine like terms: -20 + 6 = -14 -14 + 15x + -1x = 0 Combine like terms: 15x + -1x = 14x -14 + 14x = 0 Solving -14 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 14x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 14x = 0 + 14 14x = 0 + 14 Combine like terms: 0 + 14 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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