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Simplifying 12x + -6 = 8x + 2(x + -10) Reorder the terms: -6 + 12x = 8x + 2(x + -10) Reorder the terms: -6 + 12x = 8x + 2(-10 + x) -6 + 12x = 8x + (-10 * 2 + x * 2) -6 + 12x = 8x + (-20 + 2x) Reorder the terms: -6 + 12x = -20 + 8x + 2x Combine like terms: 8x + 2x = 10x -6 + 12x = -20 + 10x Solving -6 + 12x = -20 + 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. -6 + 12x + -10x = -20 + 10x + -10x Combine like terms: 12x + -10x = 2x -6 + 2x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + 2x = -20 + 0 -6 + 2x = -20 Add '6' to each side of the equation. -6 + 6 + 2x = -20 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -20 + 6 2x = -20 + 6 Combine like terms: -20 + 6 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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