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Simplifying 6(3x + -5) + -2(-6x + 4) = 0 Reorder the terms: 6(-5 + 3x) + -2(-6x + 4) = 0 (-5 * 6 + 3x * 6) + -2(-6x + 4) = 0 (-30 + 18x) + -2(-6x + 4) = 0 Reorder the terms: -30 + 18x + -2(4 + -6x) = 0 -30 + 18x + (4 * -2 + -6x * -2) = 0 -30 + 18x + (-8 + 12x) = 0 Reorder the terms: -30 + -8 + 18x + 12x = 0 Combine like terms: -30 + -8 = -38 -38 + 18x + 12x = 0 Combine like terms: 18x + 12x = 30x -38 + 30x = 0 Solving -38 + 30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 30x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 30x = 0 + 38 30x = 0 + 38 Combine like terms: 0 + 38 = 38 30x = 38 Divide each side by '30'. x = 1.266666667 Simplifying x = 1.266666667
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