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