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Simplifying 2(x + 7) + 3(x + -5) = 0 Reorder the terms: 2(7 + x) + 3(x + -5) = 0 (7 * 2 + x * 2) + 3(x + -5) = 0 (14 + 2x) + 3(x + -5) = 0 Reorder the terms: 14 + 2x + 3(-5 + x) = 0 14 + 2x + (-5 * 3 + x * 3) = 0 14 + 2x + (-15 + 3x) = 0 Reorder the terms: 14 + -15 + 2x + 3x = 0 Combine like terms: 14 + -15 = -1 -1 + 2x + 3x = 0 Combine like terms: 2x + 3x = 5x -1 + 5x = 0 Solving -1 + 5x = 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 + 5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 0 + 1 5x = 0 + 1 Combine like terms: 0 + 1 = 1 5x = 1 Divide each side by '5'. x = 0.2 Simplifying x = 0.2
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