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Simplifying -7x + 7(-2x + -3) = -34 + -8x Reorder the terms: -7x + 7(-3 + -2x) = -34 + -8x -7x + (-3 * 7 + -2x * 7) = -34 + -8x -7x + (-21 + -14x) = -34 + -8x Reorder the terms: -21 + -7x + -14x = -34 + -8x Combine like terms: -7x + -14x = -21x -21 + -21x = -34 + -8x Solving -21 + -21x = -34 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -21 + -21x + 8x = -34 + -8x + 8x Combine like terms: -21x + 8x = -13x -21 + -13x = -34 + -8x + 8x Combine like terms: -8x + 8x = 0 -21 + -13x = -34 + 0 -21 + -13x = -34 Add '21' to each side of the equation. -21 + 21 + -13x = -34 + 21 Combine like terms: -21 + 21 = 0 0 + -13x = -34 + 21 -13x = -34 + 21 Combine like terms: -34 + 21 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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