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Simplifying 5(3x + -4) + 3(x + 2) = 0 Reorder the terms: 5(-4 + 3x) + 3(x + 2) = 0 (-4 * 5 + 3x * 5) + 3(x + 2) = 0 (-20 + 15x) + 3(x + 2) = 0 Reorder the terms: -20 + 15x + 3(2 + x) = 0 -20 + 15x + (2 * 3 + x * 3) = 0 -20 + 15x + (6 + 3x) = 0 Reorder the terms: -20 + 6 + 15x + 3x = 0 Combine like terms: -20 + 6 = -14 -14 + 15x + 3x = 0 Combine like terms: 15x + 3x = 18x -14 + 18x = 0 Solving -14 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 18x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 18x = 0 + 14 18x = 0 + 14 Combine like terms: 0 + 14 = 14 18x = 14 Divide each side by '18'. x = 0.7777777778 Simplifying x = 0.7777777778
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