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Simplifying 5(3 + 6x) + -3(7 + -3x) = 0 (3 * 5 + 6x * 5) + -3(7 + -3x) = 0 (15 + 30x) + -3(7 + -3x) = 0 15 + 30x + (7 * -3 + -3x * -3) = 0 15 + 30x + (-21 + 9x) = 0 Reorder the terms: 15 + -21 + 30x + 9x = 0 Combine like terms: 15 + -21 = -6 -6 + 30x + 9x = 0 Combine like terms: 30x + 9x = 39x -6 + 39x = 0 Solving -6 + 39x = 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 + 39x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 39x = 0 + 6 39x = 0 + 6 Combine like terms: 0 + 6 = 6 39x = 6 Divide each side by '39'. x = 0.1538461538 Simplifying x = 0.1538461538
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