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Simplifying 3(1 + x) = -3(x + 1) (1 * 3 + x * 3) = -3(x + 1) (3 + 3x) = -3(x + 1) Reorder the terms: 3 + 3x = -3(1 + x) 3 + 3x = (1 * -3 + x * -3) 3 + 3x = (-3 + -3x) Solving 3 + 3x = -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. 3 + 3x + 3x = -3 + -3x + 3x Combine like terms: 3x + 3x = 6x 3 + 6x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 3 + 6x = -3 + 0 3 + 6x = -3 Add '-3' to each side of the equation. 3 + -3 + 6x = -3 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = -3 + -3 6x = -3 + -3 Combine like terms: -3 + -3 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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