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Simplifying 10 + -2(3 + -6x) = 3(2x + -4) 10 + (3 * -2 + -6x * -2) = 3(2x + -4) 10 + (-6 + 12x) = 3(2x + -4) Combine like terms: 10 + -6 = 4 4 + 12x = 3(2x + -4) Reorder the terms: 4 + 12x = 3(-4 + 2x) 4 + 12x = (-4 * 3 + 2x * 3) 4 + 12x = (-12 + 6x) Solving 4 + 12x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 12x + -6x = -12 + 6x + -6x Combine like terms: 12x + -6x = 6x 4 + 6x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + 6x = -12 + 0 4 + 6x = -12 Add '-4' to each side of the equation. 4 + -4 + 6x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = -12 + -4 6x = -12 + -4 Combine like terms: -12 + -4 = -16 6x = -16 Divide each side by '6'. x = -2.666666667 Simplifying x = -2.666666667
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