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Simplifying 3(5x + 6) + -4(x + 3) = 0 Reorder the terms: 3(6 + 5x) + -4(x + 3) = 0 (6 * 3 + 5x * 3) + -4(x + 3) = 0 (18 + 15x) + -4(x + 3) = 0 Reorder the terms: 18 + 15x + -4(3 + x) = 0 18 + 15x + (3 * -4 + x * -4) = 0 18 + 15x + (-12 + -4x) = 0 Reorder the terms: 18 + -12 + 15x + -4x = 0 Combine like terms: 18 + -12 = 6 6 + 15x + -4x = 0 Combine like terms: 15x + -4x = 11x 6 + 11x = 0 Solving 6 + 11x = 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 + 11x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 11x = 0 + -6 11x = 0 + -6 Combine like terms: 0 + -6 = -6 11x = -6 Divide each side by '11'. x = -0.5454545455 Simplifying x = -0.5454545455
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