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Simplifying -2x + 7(-3x + -7) = -69 + -3x Reorder the terms: -2x + 7(-7 + -3x) = -69 + -3x -2x + (-7 * 7 + -3x * 7) = -69 + -3x -2x + (-49 + -21x) = -69 + -3x Reorder the terms: -49 + -2x + -21x = -69 + -3x Combine like terms: -2x + -21x = -23x -49 + -23x = -69 + -3x Solving -49 + -23x = -69 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -49 + -23x + 3x = -69 + -3x + 3x Combine like terms: -23x + 3x = -20x -49 + -20x = -69 + -3x + 3x Combine like terms: -3x + 3x = 0 -49 + -20x = -69 + 0 -49 + -20x = -69 Add '49' to each side of the equation. -49 + 49 + -20x = -69 + 49 Combine like terms: -49 + 49 = 0 0 + -20x = -69 + 49 -20x = -69 + 49 Combine like terms: -69 + 49 = -20 -20x = -20 Divide each side by '-20'. x = 1 Simplifying x = 1
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