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Simplifying 2x + 9 = 4(1 + -3x) Reorder the terms: 9 + 2x = 4(1 + -3x) 9 + 2x = (1 * 4 + -3x * 4) 9 + 2x = (4 + -12x) Solving 9 + 2x = 4 + -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. 9 + 2x + 12x = 4 + -12x + 12x Combine like terms: 2x + 12x = 14x 9 + 14x = 4 + -12x + 12x Combine like terms: -12x + 12x = 0 9 + 14x = 4 + 0 9 + 14x = 4 Add '-9' to each side of the equation. 9 + -9 + 14x = 4 + -9 Combine like terms: 9 + -9 = 0 0 + 14x = 4 + -9 14x = 4 + -9 Combine like terms: 4 + -9 = -5 14x = -5 Divide each side by '14'. x = -0.3571428571 Simplifying x = -0.3571428571
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