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Simplifying 3(x + -2) + -5(x + 1) = -1 Reorder the terms: 3(-2 + x) + -5(x + 1) = -1 (-2 * 3 + x * 3) + -5(x + 1) = -1 (-6 + 3x) + -5(x + 1) = -1 Reorder the terms: -6 + 3x + -5(1 + x) = -1 -6 + 3x + (1 * -5 + x * -5) = -1 -6 + 3x + (-5 + -5x) = -1 Reorder the terms: -6 + -5 + 3x + -5x = -1 Combine like terms: -6 + -5 = -11 -11 + 3x + -5x = -1 Combine like terms: 3x + -5x = -2x -11 + -2x = -1 Solving -11 + -2x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2x = -1 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = -1 + 11 -2x = -1 + 11 Combine like terms: -1 + 11 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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