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Simplifying 8(3x + 1) = 2x + -9x Reorder the terms: 8(1 + 3x) = 2x + -9x (1 * 8 + 3x * 8) = 2x + -9x (8 + 24x) = 2x + -9x Combine like terms: 2x + -9x = -7x 8 + 24x = -7x Solving 8 + 24x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 8 + 24x + 7x = -7x + 7x Combine like terms: 24x + 7x = 31x 8 + 31x = -7x + 7x Combine like terms: -7x + 7x = 0 8 + 31x = 0 Add '-8' to each side of the equation. 8 + -8 + 31x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 31x = 0 + -8 31x = 0 + -8 Combine like terms: 0 + -8 = -8 31x = -8 Divide each side by '31'. x = -0.2580645161 Simplifying x = -0.2580645161
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