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Simplifying -3(x + 2) = -7x + -42 Reorder the terms: -3(2 + x) = -7x + -42 (2 * -3 + x * -3) = -7x + -42 (-6 + -3x) = -7x + -42 Reorder the terms: -6 + -3x = -42 + -7x Solving -6 + -3x = -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 + -3x + 7x = -42 + -7x + 7x Combine like terms: -3x + 7x = 4x -6 + 4x = -42 + -7x + 7x Combine like terms: -7x + 7x = 0 -6 + 4x = -42 + 0 -6 + 4x = -42 Add '6' to each side of the equation. -6 + 6 + 4x = -42 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = -42 + 6 4x = -42 + 6 Combine like terms: -42 + 6 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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