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Simplifying 2(x + -3) + -3(4x + -6) = 0 Reorder the terms: 2(-3 + x) + -3(4x + -6) = 0 (-3 * 2 + x * 2) + -3(4x + -6) = 0 (-6 + 2x) + -3(4x + -6) = 0 Reorder the terms: -6 + 2x + -3(-6 + 4x) = 0 -6 + 2x + (-6 * -3 + 4x * -3) = 0 -6 + 2x + (18 + -12x) = 0 Reorder the terms: -6 + 18 + 2x + -12x = 0 Combine like terms: -6 + 18 = 12 12 + 2x + -12x = 0 Combine like terms: 2x + -12x = -10x 12 + -10x = 0 Solving 12 + -10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -10x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = 0 + -12 -10x = 0 + -12 Combine like terms: 0 + -12 = -12 -10x = -12 Divide each side by '-10'. x = 1.2 Simplifying x = 1.2
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