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Simplifying 2(3x + 2) + 4(4x + -7) = 0 Reorder the terms: 2(2 + 3x) + 4(4x + -7) = 0 (2 * 2 + 3x * 2) + 4(4x + -7) = 0 (4 + 6x) + 4(4x + -7) = 0 Reorder the terms: 4 + 6x + 4(-7 + 4x) = 0 4 + 6x + (-7 * 4 + 4x * 4) = 0 4 + 6x + (-28 + 16x) = 0 Reorder the terms: 4 + -28 + 6x + 16x = 0 Combine like terms: 4 + -28 = -24 -24 + 6x + 16x = 0 Combine like terms: 6x + 16x = 22x -24 + 22x = 0 Solving -24 + 22x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 22x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 22x = 0 + 24 22x = 0 + 24 Combine like terms: 0 + 24 = 24 22x = 24 Divide each side by '22'. x = 1.090909091 Simplifying x = 1.090909091
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