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Simplifying 5(x + 2) + 3(x + -5) = -9 Reorder the terms: 5(2 + x) + 3(x + -5) = -9 (2 * 5 + x * 5) + 3(x + -5) = -9 (10 + 5x) + 3(x + -5) = -9 Reorder the terms: 10 + 5x + 3(-5 + x) = -9 10 + 5x + (-5 * 3 + x * 3) = -9 10 + 5x + (-15 + 3x) = -9 Reorder the terms: 10 + -15 + 5x + 3x = -9 Combine like terms: 10 + -15 = -5 -5 + 5x + 3x = -9 Combine like terms: 5x + 3x = 8x -5 + 8x = -9 Solving -5 + 8x = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 8x = -9 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = -9 + 5 8x = -9 + 5 Combine like terms: -9 + 5 = -4 8x = -4 Divide each side by '8'. x = -0.5 Simplifying x = -0.5
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