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Simplifying 5x + -6(-4x + 8) = 97 Reorder the terms: 5x + -6(8 + -4x) = 97 5x + (8 * -6 + -4x * -6) = 97 5x + (-48 + 24x) = 97 Reorder the terms: -48 + 5x + 24x = 97 Combine like terms: 5x + 24x = 29x -48 + 29x = 97 Solving -48 + 29x = 97 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 29x = 97 + 48 Combine like terms: -48 + 48 = 0 0 + 29x = 97 + 48 29x = 97 + 48 Combine like terms: 97 + 48 = 145 29x = 145 Divide each side by '29'. x = 5 Simplifying x = 5
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