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Simplifying 6 = 2(-4 + 2x) + -2(1 + 6x) 6 = (-4 * 2 + 2x * 2) + -2(1 + 6x) 6 = (-8 + 4x) + -2(1 + 6x) 6 = -8 + 4x + (1 * -2 + 6x * -2) 6 = -8 + 4x + (-2 + -12x) Reorder the terms: 6 = -8 + -2 + 4x + -12x Combine like terms: -8 + -2 = -10 6 = -10 + 4x + -12x Combine like terms: 4x + -12x = -8x 6 = -10 + -8x Solving 6 = -10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 6 + 8x = -10 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 8x = -10 + 0 6 + 8x = -10 Add '-6' to each side of the equation. 6 + -6 + 8x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = -10 + -6 8x = -10 + -6 Combine like terms: -10 + -6 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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