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