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Simplifying 3(x + -2) + 5 = -8x + 17 Reorder the terms: 3(-2 + x) + 5 = -8x + 17 (-2 * 3 + x * 3) + 5 = -8x + 17 (-6 + 3x) + 5 = -8x + 17 Reorder the terms: -6 + 5 + 3x = -8x + 17 Combine like terms: -6 + 5 = -1 -1 + 3x = -8x + 17 Reorder the terms: -1 + 3x = 17 + -8x Solving -1 + 3x = 17 + -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. -1 + 3x + 8x = 17 + -8x + 8x Combine like terms: 3x + 8x = 11x -1 + 11x = 17 + -8x + 8x Combine like terms: -8x + 8x = 0 -1 + 11x = 17 + 0 -1 + 11x = 17 Add '1' to each side of the equation. -1 + 1 + 11x = 17 + 1 Combine like terms: -1 + 1 = 0 0 + 11x = 17 + 1 11x = 17 + 1 Combine like terms: 17 + 1 = 18 11x = 18 Divide each side by '11'. x = 1.636363636 Simplifying x = 1.636363636
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