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Simplifying 3(x + 5) + 7(x + -3) = 0 Reorder the terms: 3(5 + x) + 7(x + -3) = 0 (5 * 3 + x * 3) + 7(x + -3) = 0 (15 + 3x) + 7(x + -3) = 0 Reorder the terms: 15 + 3x + 7(-3 + x) = 0 15 + 3x + (-3 * 7 + x * 7) = 0 15 + 3x + (-21 + 7x) = 0 Reorder the terms: 15 + -21 + 3x + 7x = 0 Combine like terms: 15 + -21 = -6 -6 + 3x + 7x = 0 Combine like terms: 3x + 7x = 10x -6 + 10x = 0 Solving -6 + 10x = 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 + 10x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = 0 + 6 10x = 0 + 6 Combine like terms: 0 + 6 = 6 10x = 6 Divide each side by '10'. x = 0.6 Simplifying x = 0.6
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