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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 = -28 -28 + 8x + 15x = 0 Combine like terms: 8x + 15x = 23x -28 + 23x = 0 Solving -28 + 23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 23x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 23x = 0 + 28 23x = 0 + 28 Combine like terms: 0 + 28 = 28 23x = 28 Divide each side by '23'. x = 1.217391304 Simplifying x = 1.217391304
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