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Simplifying 6x + 2(-5x + -3) + -6(x + -3) = 0 Reorder the terms: 6x + 2(-3 + -5x) + -6(x + -3) = 0 6x + (-3 * 2 + -5x * 2) + -6(x + -3) = 0 6x + (-6 + -10x) + -6(x + -3) = 0 Reorder the terms: 6x + -6 + -10x + -6(-3 + x) = 0 6x + -6 + -10x + (-3 * -6 + x * -6) = 0 6x + -6 + -10x + (18 + -6x) = 0 Reorder the terms: -6 + 18 + 6x + -10x + -6x = 0 Combine like terms: -6 + 18 = 12 12 + 6x + -10x + -6x = 0 Combine like terms: 6x + -10x = -4x 12 + -4x + -6x = 0 Combine like terms: -4x + -6x = -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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