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Simplifying 5x + -17 + 3x = 3(5 + -2x) Reorder the terms: -17 + 5x + 3x = 3(5 + -2x) Combine like terms: 5x + 3x = 8x -17 + 8x = 3(5 + -2x) -17 + 8x = (5 * 3 + -2x * 3) -17 + 8x = (15 + -6x) Solving -17 + 8x = 15 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -17 + 8x + 6x = 15 + -6x + 6x Combine like terms: 8x + 6x = 14x -17 + 14x = 15 + -6x + 6x Combine like terms: -6x + 6x = 0 -17 + 14x = 15 + 0 -17 + 14x = 15 Add '17' to each side of the equation. -17 + 17 + 14x = 15 + 17 Combine like terms: -17 + 17 = 0 0 + 14x = 15 + 17 14x = 15 + 17 Combine like terms: 15 + 17 = 32 14x = 32 Divide each side by '14'. x = 2.285714286 Simplifying x = 2.285714286
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