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Simplifying -5(15a + -4b + 6c) = x (15a * -5 + -4b * -5 + 6c * -5) = x (-75a + 20b + -30c) = x Solving -75a + 20b + -30c = x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20b' to each side of the equation. -75a + 20b + -20b + -30c = -20b + x Combine like terms: 20b + -20b = 0 -75a + 0 + -30c = -20b + x -75a + -30c = -20b + x Add '30c' to each side of the equation. -75a + -30c + 30c = -20b + 30c + x Combine like terms: -30c + 30c = 0 -75a + 0 = -20b + 30c + x -75a = -20b + 30c + x Divide each side by '-75'. a = 0.2666666667b + -0.4c + -0.01333333333x Simplifying a = 0.2666666667b + -0.4c + -0.01333333333x
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