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Simplifying 3(x + 1) + -4x = 5 + -2(x + 1) Reorder the terms: 3(1 + x) + -4x = 5 + -2(x + 1) (1 * 3 + x * 3) + -4x = 5 + -2(x + 1) (3 + 3x) + -4x = 5 + -2(x + 1) Combine like terms: 3x + -4x = -1x 3 + -1x = 5 + -2(x + 1) Reorder the terms: 3 + -1x = 5 + -2(1 + x) 3 + -1x = 5 + (1 * -2 + x * -2) 3 + -1x = 5 + (-2 + -2x) Combine like terms: 5 + -2 = 3 3 + -1x = 3 + -2x Add '-3' to each side of the equation. 3 + -3 + -1x = 3 + -3 + -2x Combine like terms: 3 + -3 = 0 0 + -1x = 3 + -3 + -2x -1x = 3 + -3 + -2x Combine like terms: 3 + -3 = 0 -1x = 0 + -2x -1x = -2x Solving -1x = -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. -1x + 2x = -2x + 2x Combine like terms: -1x + 2x = 1x 1x = -2x + 2x Combine like terms: -2x + 2x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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