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Simplifying 3(2x + -5) + 4(2x + 1) = 0 Reorder the terms: 3(-5 + 2x) + 4(2x + 1) = 0 (-5 * 3 + 2x * 3) + 4(2x + 1) = 0 (-15 + 6x) + 4(2x + 1) = 0 Reorder the terms: -15 + 6x + 4(1 + 2x) = 0 -15 + 6x + (1 * 4 + 2x * 4) = 0 -15 + 6x + (4 + 8x) = 0 Reorder the terms: -15 + 4 + 6x + 8x = 0 Combine like terms: -15 + 4 = -11 -11 + 6x + 8x = 0 Combine like terms: 6x + 8x = 14x -11 + 14x = 0 Solving -11 + 14x = 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 + 14x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 14x = 0 + 11 14x = 0 + 11 Combine like terms: 0 + 11 = 11 14x = 11 Divide each side by '14'. x = 0.7857142857 Simplifying x = 0.7857142857
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