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Simplifying 6x(7x + -8) + -2x(21x + -6) = 3 + -30x Reorder the terms: 6x(-8 + 7x) + -2x(21x + -6) = 3 + -30x (-8 * 6x + 7x * 6x) + -2x(21x + -6) = 3 + -30x (-48x + 42x2) + -2x(21x + -6) = 3 + -30x Reorder the terms: -48x + 42x2 + -2x(-6 + 21x) = 3 + -30x -48x + 42x2 + (-6 * -2x + 21x * -2x) = 3 + -30x -48x + 42x2 + (12x + -42x2) = 3 + -30x Reorder the terms: -48x + 12x + 42x2 + -42x2 = 3 + -30x Combine like terms: -48x + 12x = -36x -36x + 42x2 + -42x2 = 3 + -30x Combine like terms: 42x2 + -42x2 = 0 -36x + 0 = 3 + -30x -36x = 3 + -30x Solving -36x = 3 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -36x + 30x = 3 + -30x + 30x Combine like terms: -36x + 30x = -6x -6x = 3 + -30x + 30x Combine like terms: -30x + 30x = 0 -6x = 3 + 0 -6x = 3 Divide each side by '-6'. x = -0.5 Simplifying x = -0.5
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