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Simplifying 3(5x + -2) + 4(1 + -3x) = 0 Reorder the terms: 3(-2 + 5x) + 4(1 + -3x) = 0 (-2 * 3 + 5x * 3) + 4(1 + -3x) = 0 (-6 + 15x) + 4(1 + -3x) = 0 -6 + 15x + (1 * 4 + -3x * 4) = 0 -6 + 15x + (4 + -12x) = 0 Reorder the terms: -6 + 4 + 15x + -12x = 0 Combine like terms: -6 + 4 = -2 -2 + 15x + -12x = 0 Combine like terms: 15x + -12x = 3x -2 + 3x = 0 Solving -2 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 0 + 2 3x = 0 + 2 Combine like terms: 0 + 2 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667
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