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Simplifying 8x + 6(1 + -2x) = 10 + -12 8x + (1 * 6 + -2x * 6) = 10 + -12 8x + (6 + -12x) = 10 + -12 Reorder the terms: 6 + 8x + -12x = 10 + -12 Combine like terms: 8x + -12x = -4x 6 + -4x = 10 + -12 Combine like terms: 10 + -12 = -2 6 + -4x = -2 Solving 6 + -4x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -4x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -2 + -6 -4x = -2 + -6 Combine like terms: -2 + -6 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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