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Simplifying 17x + -4 + 4x + -9 = 5x + 8 + 2x + 4 + -2x Reorder the terms: -4 + -9 + 17x + 4x = 5x + 8 + 2x + 4 + -2x Combine like terms: -4 + -9 = -13 -13 + 17x + 4x = 5x + 8 + 2x + 4 + -2x Combine like terms: 17x + 4x = 21x -13 + 21x = 5x + 8 + 2x + 4 + -2x Reorder the terms: -13 + 21x = 8 + 4 + 5x + 2x + -2x Combine like terms: 8 + 4 = 12 -13 + 21x = 12 + 5x + 2x + -2x Combine like terms: 5x + 2x = 7x -13 + 21x = 12 + 7x + -2x Combine like terms: 7x + -2x = 5x -13 + 21x = 12 + 5x Solving -13 + 21x = 12 + 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. -13 + 21x + -5x = 12 + 5x + -5x Combine like terms: 21x + -5x = 16x -13 + 16x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -13 + 16x = 12 + 0 -13 + 16x = 12 Add '13' to each side of the equation. -13 + 13 + 16x = 12 + 13 Combine like terms: -13 + 13 = 0 0 + 16x = 12 + 13 16x = 12 + 13 Combine like terms: 12 + 13 = 25 16x = 25 Divide each side by '16'. x = 1.5625 Simplifying x = 1.5625
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