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Simplifying 3(x + -2) + 5(x + 1) = -45 Reorder the terms: 3(-2 + x) + 5(x + 1) = -45 (-2 * 3 + x * 3) + 5(x + 1) = -45 (-6 + 3x) + 5(x + 1) = -45 Reorder the terms: -6 + 3x + 5(1 + x) = -45 -6 + 3x + (1 * 5 + x * 5) = -45 -6 + 3x + (5 + 5x) = -45 Reorder the terms: -6 + 5 + 3x + 5x = -45 Combine like terms: -6 + 5 = -1 -1 + 3x + 5x = -45 Combine like terms: 3x + 5x = 8x -1 + 8x = -45 Solving -1 + 8x = -45 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 + 8x = -45 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = -45 + 1 8x = -45 + 1 Combine like terms: -45 + 1 = -44 8x = -44 Divide each side by '8'. x = -5.5 Simplifying x = -5.5
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