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Simplifying -4 + 5(x + 1) = 2x + 3(x + 1) Reorder the terms: -4 + 5(1 + x) = 2x + 3(x + 1) -4 + (1 * 5 + x * 5) = 2x + 3(x + 1) -4 + (5 + 5x) = 2x + 3(x + 1) Combine like terms: -4 + 5 = 1 1 + 5x = 2x + 3(x + 1) Reorder the terms: 1 + 5x = 2x + 3(1 + x) 1 + 5x = 2x + (1 * 3 + x * 3) 1 + 5x = 2x + (3 + 3x) Reorder the terms: 1 + 5x = 3 + 2x + 3x Combine like terms: 2x + 3x = 5x 1 + 5x = 3 + 5x Add '-5x' to each side of the equation. 1 + 5x + -5x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + 0 = 3 + 5x + -5x 1 = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 1 = 3 + 0 1 = 3 Solving 1 = 3 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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