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Simplifying -4x + 7(-3x + -3) = -42 + -4x Reorder the terms: -4x + 7(-3 + -3x) = -42 + -4x -4x + (-3 * 7 + -3x * 7) = -42 + -4x -4x + (-21 + -21x) = -42 + -4x Reorder the terms: -21 + -4x + -21x = -42 + -4x Combine like terms: -4x + -21x = -25x -21 + -25x = -42 + -4x Solving -21 + -25x = -42 + -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. -21 + -25x + 4x = -42 + -4x + 4x Combine like terms: -25x + 4x = -21x -21 + -21x = -42 + -4x + 4x Combine like terms: -4x + 4x = 0 -21 + -21x = -42 + 0 -21 + -21x = -42 Add '21' to each side of the equation. -21 + 21 + -21x = -42 + 21 Combine like terms: -21 + 21 = 0 0 + -21x = -42 + 21 -21x = -42 + 21 Combine like terms: -42 + 21 = -21 -21x = -21 Divide each side by '-21'. x = 1 Simplifying x = 1
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