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Simplifying 5(4x + -3) + -3(2x + 1) = 0 Reorder the terms: 5(-3 + 4x) + -3(2x + 1) = 0 (-3 * 5 + 4x * 5) + -3(2x + 1) = 0 (-15 + 20x) + -3(2x + 1) = 0 Reorder the terms: -15 + 20x + -3(1 + 2x) = 0 -15 + 20x + (1 * -3 + 2x * -3) = 0 -15 + 20x + (-3 + -6x) = 0 Reorder the terms: -15 + -3 + 20x + -6x = 0 Combine like terms: -15 + -3 = -18 -18 + 20x + -6x = 0 Combine like terms: 20x + -6x = 14x -18 + 14x = 0 Solving -18 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 14x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 14x = 0 + 18 14x = 0 + 18 Combine like terms: 0 + 18 = 18 14x = 18 Divide each side by '14'. x = 1.285714286 Simplifying x = 1.285714286
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