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Simplifying -3(2x + 1) + 6(3x + -2) = 0 Reorder the terms: -3(1 + 2x) + 6(3x + -2) = 0 (1 * -3 + 2x * -3) + 6(3x + -2) = 0 (-3 + -6x) + 6(3x + -2) = 0 Reorder the terms: -3 + -6x + 6(-2 + 3x) = 0 -3 + -6x + (-2 * 6 + 3x * 6) = 0 -3 + -6x + (-12 + 18x) = 0 Reorder the terms: -3 + -12 + -6x + 18x = 0 Combine like terms: -3 + -12 = -15 -15 + -6x + 18x = 0 Combine like terms: -6x + 18x = 12x -15 + 12x = 0 Solving -15 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 12x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 12x = 0 + 15 12x = 0 + 15 Combine like terms: 0 + 15 = 15 12x = 15 Divide each side by '12'. x = 1.25 Simplifying x = 1.25
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