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Simplifying 2(3x + 2) = (4x + 9)(-1) Reorder the terms: 2(2 + 3x) = (4x + 9)(-1) (2 * 2 + 3x * 2) = (4x + 9)(-1) (4 + 6x) = (4x + 9)(-1) Reorder the terms: 4 + 6x = (9 + 4x)(-1) Reorder the terms for easier multiplication: 4 + 6x = -1(9 + 4x) 4 + 6x = (9 * -1 + 4x * -1) 4 + 6x = (-9 + -4x) Solving 4 + 6x = -9 + -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 + 6x + 4x = -9 + -4x + 4x Combine like terms: 6x + 4x = 10x 4 + 10x = -9 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 10x = -9 + 0 4 + 10x = -9 Add '-4' to each side of the equation. 4 + -4 + 10x = -9 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = -9 + -4 10x = -9 + -4 Combine like terms: -9 + -4 = -13 10x = -13 Divide each side by '10'. x = -1.3 Simplifying x = -1.3
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