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Simplifying 3(x + -4) + 4(x + -6) = 0 Reorder the terms: 3(-4 + x) + 4(x + -6) = 0 (-4 * 3 + x * 3) + 4(x + -6) = 0 (-12 + 3x) + 4(x + -6) = 0 Reorder the terms: -12 + 3x + 4(-6 + x) = 0 -12 + 3x + (-6 * 4 + x * 4) = 0 -12 + 3x + (-24 + 4x) = 0 Reorder the terms: -12 + -24 + 3x + 4x = 0 Combine like terms: -12 + -24 = -36 -36 + 3x + 4x = 0 Combine like terms: 3x + 4x = 7x -36 + 7x = 0 Solving -36 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 7x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 7x = 0 + 36 7x = 0 + 36 Combine like terms: 0 + 36 = 36 7x = 36 Divide each side by '7'. x = 5.142857143 Simplifying x = 5.142857143
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