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Simplifying 4(2x + 1) = 3x + -6x Reorder the terms: 4(1 + 2x) = 3x + -6x (1 * 4 + 2x * 4) = 3x + -6x (4 + 8x) = 3x + -6x Combine like terms: 3x + -6x = -3x 4 + 8x = -3x Solving 4 + 8x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + 8x + 3x = -3x + 3x Combine like terms: 8x + 3x = 11x 4 + 11x = -3x + 3x Combine like terms: -3x + 3x = 0 4 + 11x = 0 Add '-4' to each side of the equation. 4 + -4 + 11x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 11x = 0 + -4 11x = 0 + -4 Combine like terms: 0 + -4 = -4 11x = -4 Divide each side by '11'. x = -0.3636363636 Simplifying x = -0.3636363636
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