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Simplifying (3x + 5) + -1(17 + -5x) = 4x + -1(3 + -1x) Reorder the terms: (5 + 3x) + -1(17 + -5x) = 4x + -1(3 + -1x) Remove parenthesis around (5 + 3x) 5 + 3x + -1(17 + -5x) = 4x + -1(3 + -1x) 5 + 3x + (17 * -1 + -5x * -1) = 4x + -1(3 + -1x) 5 + 3x + (-17 + 5x) = 4x + -1(3 + -1x) Reorder the terms: 5 + -17 + 3x + 5x = 4x + -1(3 + -1x) Combine like terms: 5 + -17 = -12 -12 + 3x + 5x = 4x + -1(3 + -1x) Combine like terms: 3x + 5x = 8x -12 + 8x = 4x + -1(3 + -1x) -12 + 8x = 4x + (3 * -1 + -1x * -1) -12 + 8x = 4x + (-3 + 1x) Reorder the terms: -12 + 8x = -3 + 4x + 1x Combine like terms: 4x + 1x = 5x -12 + 8x = -3 + 5x Solving -12 + 8x = -3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 8x + -5x = -3 + 5x + -5x Combine like terms: 8x + -5x = 3x -12 + 3x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 3x = -3 + 0 -12 + 3x = -3 Add '12' to each side of the equation. -12 + 12 + 3x = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = -3 + 12 3x = -3 + 12 Combine like terms: -3 + 12 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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