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Simplifying 4(2x + -17) + 5(3x + -8) = 0 Reorder the terms: 4(-17 + 2x) + 5(3x + -8) = 0 (-17 * 4 + 2x * 4) + 5(3x + -8) = 0 (-68 + 8x) + 5(3x + -8) = 0 Reorder the terms: -68 + 8x + 5(-8 + 3x) = 0 -68 + 8x + (-8 * 5 + 3x * 5) = 0 -68 + 8x + (-40 + 15x) = 0 Reorder the terms: -68 + -40 + 8x + 15x = 0 Combine like terms: -68 + -40 = -108 -108 + 8x + 15x = 0 Combine like terms: 8x + 15x = 23x -108 + 23x = 0 Solving -108 + 23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '108' to each side of the equation. -108 + 108 + 23x = 0 + 108 Combine like terms: -108 + 108 = 0 0 + 23x = 0 + 108 23x = 0 + 108 Combine like terms: 0 + 108 = 108 23x = 108 Divide each side by '23'. x = 4.695652174 Simplifying x = 4.695652174
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