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Simplifying 4(2x + -17) + 5(2x + -8) = 0 Reorder the terms: 4(-17 + 2x) + 5(2x + -8) = 0 (-17 * 4 + 2x * 4) + 5(2x + -8) = 0 (-68 + 8x) + 5(2x + -8) = 0 Reorder the terms: -68 + 8x + 5(-8 + 2x) = 0 -68 + 8x + (-8 * 5 + 2x * 5) = 0 -68 + 8x + (-40 + 10x) = 0 Reorder the terms: -68 + -40 + 8x + 10x = 0 Combine like terms: -68 + -40 = -108 -108 + 8x + 10x = 0 Combine like terms: 8x + 10x = 18x -108 + 18x = 0 Solving -108 + 18x = 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 + 18x = 0 + 108 Combine like terms: -108 + 108 = 0 0 + 18x = 0 + 108 18x = 0 + 108 Combine like terms: 0 + 108 = 108 18x = 108 Divide each side by '18'. x = 6 Simplifying x = 6
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