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Simplifying 8x + -4(1 + -7x) = -3x + -4 8x + (1 * -4 + -7x * -4) = -3x + -4 8x + (-4 + 28x) = -3x + -4 Reorder the terms: -4 + 8x + 28x = -3x + -4 Combine like terms: 8x + 28x = 36x -4 + 36x = -3x + -4 Reorder the terms: -4 + 36x = -4 + -3x Add '4' to each side of the equation. -4 + 4 + 36x = -4 + 4 + -3x Combine like terms: -4 + 4 = 0 0 + 36x = -4 + 4 + -3x 36x = -4 + 4 + -3x Combine like terms: -4 + 4 = 0 36x = 0 + -3x 36x = -3x Solving 36x = -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. 36x + 3x = -3x + 3x Combine like terms: 36x + 3x = 39x 39x = -3x + 3x Combine like terms: -3x + 3x = 0 39x = 0 Divide each side by '39'. x = 0 Simplifying x = 0
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