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Simplifying 9(2x + 1) = 2x + -8x Reorder the terms: 9(1 + 2x) = 2x + -8x (1 * 9 + 2x * 9) = 2x + -8x (9 + 18x) = 2x + -8x Combine like terms: 2x + -8x = -6x 9 + 18x = -6x Solving 9 + 18x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 9 + 18x + 6x = -6x + 6x Combine like terms: 18x + 6x = 24x 9 + 24x = -6x + 6x Combine like terms: -6x + 6x = 0 9 + 24x = 0 Add '-9' to each side of the equation. 9 + -9 + 24x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 24x = 0 + -9 24x = 0 + -9 Combine like terms: 0 + -9 = -9 24x = -9 Divide each side by '24'. x = -0.375 Simplifying x = -0.375
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