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Simplifying 2(4x + 3) + 7(x + -4) = 0 Reorder the terms: 2(3 + 4x) + 7(x + -4) = 0 (3 * 2 + 4x * 2) + 7(x + -4) = 0 (6 + 8x) + 7(x + -4) = 0 Reorder the terms: 6 + 8x + 7(-4 + x) = 0 6 + 8x + (-4 * 7 + x * 7) = 0 6 + 8x + (-28 + 7x) = 0 Reorder the terms: 6 + -28 + 8x + 7x = 0 Combine like terms: 6 + -28 = -22 -22 + 8x + 7x = 0 Combine like terms: 8x + 7x = 15x -22 + 15x = 0 Solving -22 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 15x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 15x = 0 + 22 15x = 0 + 22 Combine like terms: 0 + 22 = 22 15x = 22 Divide each side by '15'. x = 1.466666667 Simplifying x = 1.466666667
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