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Simplifying 3(5x + -4) + 6(7x + 3) = 0 Reorder the terms: 3(-4 + 5x) + 6(7x + 3) = 0 (-4 * 3 + 5x * 3) + 6(7x + 3) = 0 (-12 + 15x) + 6(7x + 3) = 0 Reorder the terms: -12 + 15x + 6(3 + 7x) = 0 -12 + 15x + (3 * 6 + 7x * 6) = 0 -12 + 15x + (18 + 42x) = 0 Reorder the terms: -12 + 18 + 15x + 42x = 0 Combine like terms: -12 + 18 = 6 6 + 15x + 42x = 0 Combine like terms: 15x + 42x = 57x 6 + 57x = 0 Solving 6 + 57x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 57x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 57x = 0 + -6 57x = 0 + -6 Combine like terms: 0 + -6 = -6 57x = -6 Divide each side by '57'. x = -0.1052631579 Simplifying x = -0.1052631579
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