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Simplifying 3(x + -5) + 7(x + 2) = 0 Reorder the terms: 3(-5 + x) + 7(x + 2) = 0 (-5 * 3 + x * 3) + 7(x + 2) = 0 (-15 + 3x) + 7(x + 2) = 0 Reorder the terms: -15 + 3x + 7(2 + x) = 0 -15 + 3x + (2 * 7 + x * 7) = 0 -15 + 3x + (14 + 7x) = 0 Reorder the terms: -15 + 14 + 3x + 7x = 0 Combine like terms: -15 + 14 = -1 -1 + 3x + 7x = 0 Combine like terms: 3x + 7x = 10x -1 + 10x = 0 Solving -1 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 10x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 10x = 0 + 1 10x = 0 + 1 Combine like terms: 0 + 1 = 1 10x = 1 Divide each side by '10'. x = 0.1 Simplifying x = 0.1
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