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Simplifying 7(3x + -4) + 5(3x + 2) = 0 Reorder the terms: 7(-4 + 3x) + 5(3x + 2) = 0 (-4 * 7 + 3x * 7) + 5(3x + 2) = 0 (-28 + 21x) + 5(3x + 2) = 0 Reorder the terms: -28 + 21x + 5(2 + 3x) = 0 -28 + 21x + (2 * 5 + 3x * 5) = 0 -28 + 21x + (10 + 15x) = 0 Reorder the terms: -28 + 10 + 21x + 15x = 0 Combine like terms: -28 + 10 = -18 -18 + 21x + 15x = 0 Combine like terms: 21x + 15x = 36x -18 + 36x = 0 Solving -18 + 36x = 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 + 36x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 36x = 0 + 18 36x = 0 + 18 Combine like terms: 0 + 18 = 18 36x = 18 Divide each side by '36'. x = 0.5 Simplifying x = 0.5
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