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Simplifying -2(3x + 4) + 4(4x + 9) = 0 Reorder the terms: -2(4 + 3x) + 4(4x + 9) = 0 (4 * -2 + 3x * -2) + 4(4x + 9) = 0 (-8 + -6x) + 4(4x + 9) = 0 Reorder the terms: -8 + -6x + 4(9 + 4x) = 0 -8 + -6x + (9 * 4 + 4x * 4) = 0 -8 + -6x + (36 + 16x) = 0 Reorder the terms: -8 + 36 + -6x + 16x = 0 Combine like terms: -8 + 36 = 28 28 + -6x + 16x = 0 Combine like terms: -6x + 16x = 10x 28 + 10x = 0 Solving 28 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 10x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 10x = 0 + -28 10x = 0 + -28 Combine like terms: 0 + -28 = -28 10x = -28 Divide each side by '10'. x = -2.8 Simplifying x = -2.8
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