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Simplifying 4(x + 1) + x = 5(x + -1) + 9 Reorder the terms: 4(1 + x) + x = 5(x + -1) + 9 (1 * 4 + x * 4) + x = 5(x + -1) + 9 (4 + 4x) + x = 5(x + -1) + 9 Combine like terms: 4x + x = 5x 4 + 5x = 5(x + -1) + 9 Reorder the terms: 4 + 5x = 5(-1 + x) + 9 4 + 5x = (-1 * 5 + x * 5) + 9 4 + 5x = (-5 + 5x) + 9 Reorder the terms: 4 + 5x = -5 + 9 + 5x Combine like terms: -5 + 9 = 4 4 + 5x = 4 + 5x Add '-4' to each side of the equation. 4 + -4 + 5x = 4 + -4 + 5x Combine like terms: 4 + -4 = 0 0 + 5x = 4 + -4 + 5x 5x = 4 + -4 + 5x Combine like terms: 4 + -4 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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