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