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Simplifying 2(x + 1) = -3(4x + 9) Reorder the terms: 2(1 + x) = -3(4x + 9) (1 * 2 + x * 2) = -3(4x + 9) (2 + 2x) = -3(4x + 9) Reorder the terms: 2 + 2x = -3(9 + 4x) 2 + 2x = (9 * -3 + 4x * -3) 2 + 2x = (-27 + -12x) Solving 2 + 2x = -27 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 2 + 2x + 12x = -27 + -12x + 12x Combine like terms: 2x + 12x = 14x 2 + 14x = -27 + -12x + 12x Combine like terms: -12x + 12x = 0 2 + 14x = -27 + 0 2 + 14x = -27 Add '-2' to each side of the equation. 2 + -2 + 14x = -27 + -2 Combine like terms: 2 + -2 = 0 0 + 14x = -27 + -2 14x = -27 + -2 Combine like terms: -27 + -2 = -29 14x = -29 Divide each side by '14'. x = -2.071428571 Simplifying x = -2.071428571
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