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Simplifying 5(x + -3) + 4(2x + 1) = 0 Reorder the terms: 5(-3 + x) + 4(2x + 1) = 0 (-3 * 5 + x * 5) + 4(2x + 1) = 0 (-15 + 5x) + 4(2x + 1) = 0 Reorder the terms: -15 + 5x + 4(1 + 2x) = 0 -15 + 5x + (1 * 4 + 2x * 4) = 0 -15 + 5x + (4 + 8x) = 0 Reorder the terms: -15 + 4 + 5x + 8x = 0 Combine like terms: -15 + 4 = -11 -11 + 5x + 8x = 0 Combine like terms: 5x + 8x = 13x -11 + 13x = 0 Solving -11 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 13x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 13x = 0 + 11 13x = 0 + 11 Combine like terms: 0 + 11 = 11 13x = 11 Divide each side by '13'. x = 0.8461538462 Simplifying x = 0.8461538462
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