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Simplifying -11x + -2(3 + 4x) = 42 + -7x -11x + (3 * -2 + 4x * -2) = 42 + -7x -11x + (-6 + -8x) = 42 + -7x Reorder the terms: -6 + -11x + -8x = 42 + -7x Combine like terms: -11x + -8x = -19x -6 + -19x = 42 + -7x Solving -6 + -19x = 42 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -6 + -19x + 7x = 42 + -7x + 7x Combine like terms: -19x + 7x = -12x -6 + -12x = 42 + -7x + 7x Combine like terms: -7x + 7x = 0 -6 + -12x = 42 + 0 -6 + -12x = 42 Add '6' to each side of the equation. -6 + 6 + -12x = 42 + 6 Combine like terms: -6 + 6 = 0 0 + -12x = 42 + 6 -12x = 42 + 6 Combine like terms: 42 + 6 = 48 -12x = 48 Divide each side by '-12'. x = -4 Simplifying x = -4
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