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Simplifying 3x + 2x + 5 + -3 + -3 = 17 + -1x Reorder the terms: 5 + -3 + -3 + 3x + 2x = 17 + -1x Combine like terms: 5 + -3 = 2 2 + -3 + 3x + 2x = 17 + -1x Combine like terms: 2 + -3 = -1 -1 + 3x + 2x = 17 + -1x Combine like terms: 3x + 2x = 5x -1 + 5x = 17 + -1x Solving -1 + 5x = 17 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -1 + 5x + x = 17 + -1x + x Combine like terms: 5x + x = 6x -1 + 6x = 17 + -1x + x Combine like terms: -1x + x = 0 -1 + 6x = 17 + 0 -1 + 6x = 17 Add '1' to each side of the equation. -1 + 1 + 6x = 17 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = 17 + 1 6x = 17 + 1 Combine like terms: 17 + 1 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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