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Simplifying 6x = 7 + -2(4 + -4x) 6x = 7 + (4 * -2 + -4x * -2) 6x = 7 + (-8 + 8x) Combine like terms: 7 + -8 = -1 6x = -1 + 8x Solving 6x = -1 + 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. 6x + -8x = -1 + 8x + -8x Combine like terms: 6x + -8x = -2x -2x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 -2x = -1 + 0 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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