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Simplifying 17 + -8(x + -3) + 5 = 14 + -3x Reorder the terms: 17 + -8(-3 + x) + 5 = 14 + -3x 17 + (-3 * -8 + x * -8) + 5 = 14 + -3x 17 + (24 + -8x) + 5 = 14 + -3x Reorder the terms: 17 + 24 + 5 + -8x = 14 + -3x Combine like terms: 17 + 24 = 41 41 + 5 + -8x = 14 + -3x Combine like terms: 41 + 5 = 46 46 + -8x = 14 + -3x Solving 46 + -8x = 14 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 46 + -8x + 3x = 14 + -3x + 3x Combine like terms: -8x + 3x = -5x 46 + -5x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 46 + -5x = 14 + 0 46 + -5x = 14 Add '-46' to each side of the equation. 46 + -46 + -5x = 14 + -46 Combine like terms: 46 + -46 = 0 0 + -5x = 14 + -46 -5x = 14 + -46 Combine like terms: 14 + -46 = -32 -5x = -32 Divide each side by '-5'. x = 6.4 Simplifying x = 6.4
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