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Simplifying -7(3x + 6) = -2x + -4 Reorder the terms: -7(6 + 3x) = -2x + -4 (6 * -7 + 3x * -7) = -2x + -4 (-42 + -21x) = -2x + -4 Reorder the terms: -42 + -21x = -4 + -2x Solving -42 + -21x = -4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -42 + -21x + 2x = -4 + -2x + 2x Combine like terms: -21x + 2x = -19x -42 + -19x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 -42 + -19x = -4 + 0 -42 + -19x = -4 Add '42' to each side of the equation. -42 + 42 + -19x = -4 + 42 Combine like terms: -42 + 42 = 0 0 + -19x = -4 + 42 -19x = -4 + 42 Combine like terms: -4 + 42 = 38 -19x = 38 Divide each side by '-19'. x = -2 Simplifying x = -2
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