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Simplifying 2 + -7(x + 1) + -5(x + 2) = 0 Reorder the terms: 2 + -7(1 + x) + -5(x + 2) = 0 2 + (1 * -7 + x * -7) + -5(x + 2) = 0 2 + (-7 + -7x) + -5(x + 2) = 0 Reorder the terms: 2 + -7 + -7x + -5(2 + x) = 0 2 + -7 + -7x + (2 * -5 + x * -5) = 0 2 + -7 + -7x + (-10 + -5x) = 0 Reorder the terms: 2 + -7 + -10 + -7x + -5x = 0 Combine like terms: 2 + -7 = -5 -5 + -10 + -7x + -5x = 0 Combine like terms: -5 + -10 = -15 -15 + -7x + -5x = 0 Combine like terms: -7x + -5x = -12x -15 + -12x = 0 Solving -15 + -12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -12x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -12x = 0 + 15 -12x = 0 + 15 Combine like terms: 0 + 15 = 15 -12x = 15 Divide each side by '-12'. x = -1.25 Simplifying x = -1.25
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