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Simplifying 12 + -6(2x + -3) = 8 + -10x Reorder the terms: 12 + -6(-3 + 2x) = 8 + -10x 12 + (-3 * -6 + 2x * -6) = 8 + -10x 12 + (18 + -12x) = 8 + -10x Combine like terms: 12 + 18 = 30 30 + -12x = 8 + -10x Solving 30 + -12x = 8 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 30 + -12x + 10x = 8 + -10x + 10x Combine like terms: -12x + 10x = -2x 30 + -2x = 8 + -10x + 10x Combine like terms: -10x + 10x = 0 30 + -2x = 8 + 0 30 + -2x = 8 Add '-30' to each side of the equation. 30 + -30 + -2x = 8 + -30 Combine like terms: 30 + -30 = 0 0 + -2x = 8 + -30 -2x = 8 + -30 Combine like terms: 8 + -30 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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