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Simplifying 3(x + 1) + -5(x + 2) = 0 Reorder the terms: 3(1 + x) + -5(x + 2) = 0 (1 * 3 + x * 3) + -5(x + 2) = 0 (3 + 3x) + -5(x + 2) = 0 Reorder the terms: 3 + 3x + -5(2 + x) = 0 3 + 3x + (2 * -5 + x * -5) = 0 3 + 3x + (-10 + -5x) = 0 Reorder the terms: 3 + -10 + 3x + -5x = 0 Combine like terms: 3 + -10 = -7 -7 + 3x + -5x = 0 Combine like terms: 3x + -5x = -2x -7 + -2x = 0 Solving -7 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5
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