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Simplifying 4(2x + 1) = 5x + -9x Reorder the terms: 4(1 + 2x) = 5x + -9x (1 * 4 + 2x * 4) = 5x + -9x (4 + 8x) = 5x + -9x Combine like terms: 5x + -9x = -4x 4 + 8x = -4x Solving 4 + 8x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 4 + 8x + 4x = -4x + 4x Combine like terms: 8x + 4x = 12x 4 + 12x = -4x + 4x Combine like terms: -4x + 4x = 0 4 + 12x = 0 Add '-4' to each side of the equation. 4 + -4 + 12x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 12x = 0 + -4 12x = 0 + -4 Combine like terms: 0 + -4 = -4 12x = -4 Divide each side by '12'. x = -0.3333333333 Simplifying x = -0.3333333333
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