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Simplifying 2(3x + -5) + -3(4x + -6) = 0 Reorder the terms: 2(-5 + 3x) + -3(4x + -6) = 0 (-5 * 2 + 3x * 2) + -3(4x + -6) = 0 (-10 + 6x) + -3(4x + -6) = 0 Reorder the terms: -10 + 6x + -3(-6 + 4x) = 0 -10 + 6x + (-6 * -3 + 4x * -3) = 0 -10 + 6x + (18 + -12x) = 0 Reorder the terms: -10 + 18 + 6x + -12x = 0 Combine like terms: -10 + 18 = 8 8 + 6x + -12x = 0 Combine like terms: 6x + -12x = -6x 8 + -6x = 0 Solving 8 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -6x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = 0 + -8 -6x = 0 + -8 Combine like terms: 0 + -8 = -8 -6x = -8 Divide each side by '-6'. x = 1.333333333 Simplifying x = 1.333333333
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