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Simplifying 3(x + -5) + 7(x + 2) = -8 Reorder the terms: 3(-5 + x) + 7(x + 2) = -8 (-5 * 3 + x * 3) + 7(x + 2) = -8 (-15 + 3x) + 7(x + 2) = -8 Reorder the terms: -15 + 3x + 7(2 + x) = -8 -15 + 3x + (2 * 7 + x * 7) = -8 -15 + 3x + (14 + 7x) = -8 Reorder the terms: -15 + 14 + 3x + 7x = -8 Combine like terms: -15 + 14 = -1 -1 + 3x + 7x = -8 Combine like terms: 3x + 7x = 10x -1 + 10x = -8 Solving -1 + 10x = -8 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 = -8 + 1 Combine like terms: -1 + 1 = 0 0 + 10x = -8 + 1 10x = -8 + 1 Combine like terms: -8 + 1 = -7 10x = -7 Divide each side by '10'. x = -0.7 Simplifying x = -0.7
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