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Simplifying x + 5 = -3(x + 1) Reorder the terms: 5 + x = -3(x + 1) Reorder the terms: 5 + x = -3(1 + x) 5 + x = (1 * -3 + x * -3) 5 + x = (-3 + -3x) Solving 5 + x = -3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 5 + x + 3x = -3 + -3x + 3x Combine like terms: x + 3x = 4x 5 + 4x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 5 + 4x = -3 + 0 5 + 4x = -3 Add '-5' to each side of the equation. 5 + -5 + 4x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = -3 + -5 4x = -3 + -5 Combine like terms: -3 + -5 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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