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Simplifying 3(4 + -7x) + -3(2x + 5) = -8 (4 * 3 + -7x * 3) + -3(2x + 5) = -8 (12 + -21x) + -3(2x + 5) = -8 Reorder the terms: 12 + -21x + -3(5 + 2x) = -8 12 + -21x + (5 * -3 + 2x * -3) = -8 12 + -21x + (-15 + -6x) = -8 Reorder the terms: 12 + -15 + -21x + -6x = -8 Combine like terms: 12 + -15 = -3 -3 + -21x + -6x = -8 Combine like terms: -21x + -6x = -27x -3 + -27x = -8 Solving -3 + -27x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -27x = -8 + 3 Combine like terms: -3 + 3 = 0 0 + -27x = -8 + 3 -27x = -8 + 3 Combine like terms: -8 + 3 = -5 -27x = -5 Divide each side by '-27'. x = 0.1851851852 Simplifying x = 0.1851851852
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