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Simplifying 4(-2 + 3x) + -1(6 + 5x) = -42 (-2 * 4 + 3x * 4) + -1(6 + 5x) = -42 (-8 + 12x) + -1(6 + 5x) = -42 -8 + 12x + (6 * -1 + 5x * -1) = -42 -8 + 12x + (-6 + -5x) = -42 Reorder the terms: -8 + -6 + 12x + -5x = -42 Combine like terms: -8 + -6 = -14 -14 + 12x + -5x = -42 Combine like terms: 12x + -5x = 7x -14 + 7x = -42 Solving -14 + 7x = -42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 7x = -42 + 14 Combine like terms: -14 + 14 = 0 0 + 7x = -42 + 14 7x = -42 + 14 Combine like terms: -42 + 14 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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