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Simplifying 1 + 3(x + -1) = -5(x + 2) Reorder the terms: 1 + 3(-1 + x) = -5(x + 2) 1 + (-1 * 3 + x * 3) = -5(x + 2) 1 + (-3 + 3x) = -5(x + 2) Combine like terms: 1 + -3 = -2 -2 + 3x = -5(x + 2) Reorder the terms: -2 + 3x = -5(2 + x) -2 + 3x = (2 * -5 + x * -5) -2 + 3x = (-10 + -5x) Solving -2 + 3x = -10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -2 + 3x + 5x = -10 + -5x + 5x Combine like terms: 3x + 5x = 8x -2 + 8x = -10 + -5x + 5x Combine like terms: -5x + 5x = 0 -2 + 8x = -10 + 0 -2 + 8x = -10 Add '2' to each side of the equation. -2 + 2 + 8x = -10 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = -10 + 2 8x = -10 + 2 Combine like terms: -10 + 2 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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