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Simplifying 8x + -1(3x + 7) = 4 + -1(5 + -4x) Reorder the terms: 8x + -1(7 + 3x) = 4 + -1(5 + -4x) 8x + (7 * -1 + 3x * -1) = 4 + -1(5 + -4x) 8x + (-7 + -3x) = 4 + -1(5 + -4x) Reorder the terms: -7 + 8x + -3x = 4 + -1(5 + -4x) Combine like terms: 8x + -3x = 5x -7 + 5x = 4 + -1(5 + -4x) -7 + 5x = 4 + (5 * -1 + -4x * -1) -7 + 5x = 4 + (-5 + 4x) Combine like terms: 4 + -5 = -1 -7 + 5x = -1 + 4x Solving -7 + 5x = -1 + 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 + 5x + -4x = -1 + 4x + -4x Combine like terms: 5x + -4x = 1x -7 + 1x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 1x = -1 + 0 -7 + 1x = -1 Add '7' to each side of the equation. -7 + 7 + 1x = -1 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -1 + 7 1x = -1 + 7 Combine like terms: -1 + 7 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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