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Simplifying 6x + (3x + -17) = 4x + (4x + -1) Reorder the terms: 6x + (-17 + 3x) = 4x + (4x + -1) Remove parenthesis around (-17 + 3x) 6x + -17 + 3x = 4x + (4x + -1) Reorder the terms: -17 + 6x + 3x = 4x + (4x + -1) Combine like terms: 6x + 3x = 9x -17 + 9x = 4x + (4x + -1) Reorder the terms: -17 + 9x = 4x + (-1 + 4x) Remove parenthesis around (-1 + 4x) -17 + 9x = 4x + -1 + 4x Reorder the terms: -17 + 9x = -1 + 4x + 4x Combine like terms: 4x + 4x = 8x -17 + 9x = -1 + 8x Solving -17 + 9x = -1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -17 + 9x + -8x = -1 + 8x + -8x Combine like terms: 9x + -8x = 1x -17 + 1x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 -17 + 1x = -1 + 0 -17 + 1x = -1 Add '17' to each side of the equation. -17 + 17 + 1x = -1 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = -1 + 17 1x = -1 + 17 Combine like terms: -1 + 17 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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