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Simplifying 6(-1 + -2x) = 8(7x + 3) + 4 (-1 * 6 + -2x * 6) = 8(7x + 3) + 4 (-6 + -12x) = 8(7x + 3) + 4 Reorder the terms: -6 + -12x = 8(3 + 7x) + 4 -6 + -12x = (3 * 8 + 7x * 8) + 4 -6 + -12x = (24 + 56x) + 4 Reorder the terms: -6 + -12x = 24 + 4 + 56x Combine like terms: 24 + 4 = 28 -6 + -12x = 28 + 56x Solving -6 + -12x = 28 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. -6 + -12x + -56x = 28 + 56x + -56x Combine like terms: -12x + -56x = -68x -6 + -68x = 28 + 56x + -56x Combine like terms: 56x + -56x = 0 -6 + -68x = 28 + 0 -6 + -68x = 28 Add '6' to each side of the equation. -6 + 6 + -68x = 28 + 6 Combine like terms: -6 + 6 = 0 0 + -68x = 28 + 6 -68x = 28 + 6 Combine like terms: 28 + 6 = 34 -68x = 34 Divide each side by '-68'. x = -0.5 Simplifying x = -0.5
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