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Simplifying 3(x + 4) + 4(x + -7) = 0 Reorder the terms: 3(4 + x) + 4(x + -7) = 0 (4 * 3 + x * 3) + 4(x + -7) = 0 (12 + 3x) + 4(x + -7) = 0 Reorder the terms: 12 + 3x + 4(-7 + x) = 0 12 + 3x + (-7 * 4 + x * 4) = 0 12 + 3x + (-28 + 4x) = 0 Reorder the terms: 12 + -28 + 3x + 4x = 0 Combine like terms: 12 + -28 = -16 -16 + 3x + 4x = 0 Combine like terms: 3x + 4x = 7x -16 + 7x = 0 Solving -16 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 7x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 7x = 0 + 16 7x = 0 + 16 Combine like terms: 0 + 16 = 16 7x = 16 Divide each side by '7'. x = 2.285714286 Simplifying x = 2.285714286
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