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Simplifying 3(2x + -1) + -27(x + 1) = 0 Reorder the terms: 3(-1 + 2x) + -27(x + 1) = 0 (-1 * 3 + 2x * 3) + -27(x + 1) = 0 (-3 + 6x) + -27(x + 1) = 0 Reorder the terms: -3 + 6x + -27(1 + x) = 0 -3 + 6x + (1 * -27 + x * -27) = 0 -3 + 6x + (-27 + -27x) = 0 Reorder the terms: -3 + -27 + 6x + -27x = 0 Combine like terms: -3 + -27 = -30 -30 + 6x + -27x = 0 Combine like terms: 6x + -27x = -21x -30 + -21x = 0 Solving -30 + -21x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -21x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -21x = 0 + 30 -21x = 0 + 30 Combine like terms: 0 + 30 = 30 -21x = 30 Divide each side by '-21'. x = -1.428571429 Simplifying x = -1.428571429
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