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