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Simplifying -6(x + 7) = -4x + -2 Reorder the terms: -6(7 + x) = -4x + -2 (7 * -6 + x * -6) = -4x + -2 (-42 + -6x) = -4x + -2 Reorder the terms: -42 + -6x = -2 + -4x Solving -42 + -6x = -2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -42 + -6x + 4x = -2 + -4x + 4x Combine like terms: -6x + 4x = -2x -42 + -2x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 -42 + -2x = -2 + 0 -42 + -2x = -2 Add '42' to each side of the equation. -42 + 42 + -2x = -2 + 42 Combine like terms: -42 + 42 = 0 0 + -2x = -2 + 42 -2x = -2 + 42 Combine like terms: -2 + 42 = 40 -2x = 40 Divide each side by '-2'. x = -20 Simplifying x = -20
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