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Simplifying 3(x + 1) = -2(2x + 2) Reorder the terms: 3(1 + x) = -2(2x + 2) (1 * 3 + x * 3) = -2(2x + 2) (3 + 3x) = -2(2x + 2) Reorder the terms: 3 + 3x = -2(2 + 2x) 3 + 3x = (2 * -2 + 2x * -2) 3 + 3x = (-4 + -4x) Solving 3 + 3x = -4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3 + 3x + 4x = -4 + -4x + 4x Combine like terms: 3x + 4x = 7x 3 + 7x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + 7x = -4 + 0 3 + 7x = -4 Add '-3' to each side of the equation. 3 + -3 + 7x = -4 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = -4 + -3 7x = -4 + -3 Combine like terms: -4 + -3 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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