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Simplifying 8x + -1(5x + 4) = 8 + (2x + -5) Reorder the terms: 8x + -1(4 + 5x) = 8 + (2x + -5) 8x + (4 * -1 + 5x * -1) = 8 + (2x + -5) 8x + (-4 + -5x) = 8 + (2x + -5) Reorder the terms: -4 + 8x + -5x = 8 + (2x + -5) Combine like terms: 8x + -5x = 3x -4 + 3x = 8 + (2x + -5) Reorder the terms: -4 + 3x = 8 + (-5 + 2x) Remove parenthesis around (-5 + 2x) -4 + 3x = 8 + -5 + 2x Combine like terms: 8 + -5 = 3 -4 + 3x = 3 + 2x Solving -4 + 3x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + 3x + -2x = 3 + 2x + -2x Combine like terms: 3x + -2x = 1x -4 + 1x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 1x = 3 + 0 -4 + 1x = 3 Add '4' to each side of the equation. -4 + 4 + 1x = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 3 + 4 1x = 3 + 4 Combine like terms: 3 + 4 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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