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Simplifying 3(5x + -2) + -27(3 + -1x) = 0 Reorder the terms: 3(-2 + 5x) + -27(3 + -1x) = 0 (-2 * 3 + 5x * 3) + -27(3 + -1x) = 0 (-6 + 15x) + -27(3 + -1x) = 0 -6 + 15x + (3 * -27 + -1x * -27) = 0 -6 + 15x + (-81 + 27x) = 0 Reorder the terms: -6 + -81 + 15x + 27x = 0 Combine like terms: -6 + -81 = -87 -87 + 15x + 27x = 0 Combine like terms: 15x + 27x = 42x -87 + 42x = 0 Solving -87 + 42x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '87' to each side of the equation. -87 + 87 + 42x = 0 + 87 Combine like terms: -87 + 87 = 0 0 + 42x = 0 + 87 42x = 0 + 87 Combine like terms: 0 + 87 = 87 42x = 87 Divide each side by '42'. x = 2.071428571 Simplifying x = 2.071428571
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