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Simplifying 8x + -7 = -3(1 + -4x) + -8x Reorder the terms: -7 + 8x = -3(1 + -4x) + -8x -7 + 8x = (1 * -3 + -4x * -3) + -8x -7 + 8x = (-3 + 12x) + -8x Combine like terms: 12x + -8x = 4x -7 + 8x = -3 + 4x Solving -7 + 8x = -3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 8x + -4x = -3 + 4x + -4x Combine like terms: 8x + -4x = 4x -7 + 4x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 4x = -3 + 0 -7 + 4x = -3 Add '7' to each side of the equation. -7 + 7 + 4x = -3 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = -3 + 7 4x = -3 + 7 Combine like terms: -3 + 7 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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