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Simplifying 3(2x + -1) + 4(3x + -2) = 0 Reorder the terms: 3(-1 + 2x) + 4(3x + -2) = 0 (-1 * 3 + 2x * 3) + 4(3x + -2) = 0 (-3 + 6x) + 4(3x + -2) = 0 Reorder the terms: -3 + 6x + 4(-2 + 3x) = 0 -3 + 6x + (-2 * 4 + 3x * 4) = 0 -3 + 6x + (-8 + 12x) = 0 Reorder the terms: -3 + -8 + 6x + 12x = 0 Combine like terms: -3 + -8 = -11 -11 + 6x + 12x = 0 Combine like terms: 6x + 12x = 18x -11 + 18x = 0 Solving -11 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 18x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 18x = 0 + 11 18x = 0 + 11 Combine like terms: 0 + 11 = 11 18x = 11 Divide each side by '18'. x = 0.6111111111 Simplifying x = 0.6111111111
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