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Simplifying 8x + -7(1 + 3x) = 97 8x + (1 * -7 + 3x * -7) = 97 8x + (-7 + -21x) = 97 Reorder the terms: -7 + 8x + -21x = 97 Combine like terms: 8x + -21x = -13x -7 + -13x = 97 Solving -7 + -13x = 97 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -13x = 97 + 7 Combine like terms: -7 + 7 = 0 0 + -13x = 97 + 7 -13x = 97 + 7 Combine like terms: 97 + 7 = 104 -13x = 104 Divide each side by '-13'. x = -8 Simplifying x = -8
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