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Simplifying 8x + 2(x + -10) = 12x + -6 Reorder the terms: 8x + 2(-10 + x) = 12x + -6 8x + (-10 * 2 + x * 2) = 12x + -6 8x + (-20 + 2x) = 12x + -6 Reorder the terms: -20 + 8x + 2x = 12x + -6 Combine like terms: 8x + 2x = 10x -20 + 10x = 12x + -6 Reorder the terms: -20 + 10x = -6 + 12x Solving -20 + 10x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -20 + 10x + -12x = -6 + 12x + -12x Combine like terms: 10x + -12x = -2x -20 + -2x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 -20 + -2x = -6 + 0 -20 + -2x = -6 Add '20' to each side of the equation. -20 + 20 + -2x = -6 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = -6 + 20 -2x = -6 + 20 Combine like terms: -6 + 20 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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