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Simplifying 8 + -1(2x + -4) = 6x + -3(x + -4) Reorder the terms: 8 + -1(-4 + 2x) = 6x + -3(x + -4) 8 + (-4 * -1 + 2x * -1) = 6x + -3(x + -4) 8 + (4 + -2x) = 6x + -3(x + -4) Combine like terms: 8 + 4 = 12 12 + -2x = 6x + -3(x + -4) Reorder the terms: 12 + -2x = 6x + -3(-4 + x) 12 + -2x = 6x + (-4 * -3 + x * -3) 12 + -2x = 6x + (12 + -3x) Reorder the terms: 12 + -2x = 12 + 6x + -3x Combine like terms: 6x + -3x = 3x 12 + -2x = 12 + 3x Add '-12' to each side of the equation. 12 + -12 + -2x = 12 + -12 + 3x Combine like terms: 12 + -12 = 0 0 + -2x = 12 + -12 + 3x -2x = 12 + -12 + 3x Combine like terms: 12 + -12 = 0 -2x = 0 + 3x -2x = 3x Solving -2x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2x + -3x = 3x + -3x Combine like terms: -2x + -3x = -5x -5x = 3x + -3x Combine like terms: 3x + -3x = 0 -5x = 0 Divide each side by '-5'. x = 0 Simplifying x = 0
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