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Simplifying -6(4 + -6x) + 3(1 + 5x) = 30 (4 * -6 + -6x * -6) + 3(1 + 5x) = 30 (-24 + 36x) + 3(1 + 5x) = 30 -24 + 36x + (1 * 3 + 5x * 3) = 30 -24 + 36x + (3 + 15x) = 30 Reorder the terms: -24 + 3 + 36x + 15x = 30 Combine like terms: -24 + 3 = -21 -21 + 36x + 15x = 30 Combine like terms: 36x + 15x = 51x -21 + 51x = 30 Solving -21 + 51x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 51x = 30 + 21 Combine like terms: -21 + 21 = 0 0 + 51x = 30 + 21 51x = 30 + 21 Combine like terms: 30 + 21 = 51 51x = 51 Divide each side by '51'. x = 1 Simplifying x = 1
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