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Simplifying 3(x + -2) + 4(x + -3) = 0 Reorder the terms: 3(-2 + x) + 4(x + -3) = 0 (-2 * 3 + x * 3) + 4(x + -3) = 0 (-6 + 3x) + 4(x + -3) = 0 Reorder the terms: -6 + 3x + 4(-3 + x) = 0 -6 + 3x + (-3 * 4 + x * 4) = 0 -6 + 3x + (-12 + 4x) = 0 Reorder the terms: -6 + -12 + 3x + 4x = 0 Combine like terms: -6 + -12 = -18 -18 + 3x + 4x = 0 Combine like terms: 3x + 4x = 7x -18 + 7x = 0 Solving -18 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 7x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 7x = 0 + 18 7x = 0 + 18 Combine like terms: 0 + 18 = 18 7x = 18 Divide each side by '7'. x = 2.571428571 Simplifying x = 2.571428571
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