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Simplifying 9x + -2 = 5(x + 1) + 4x + -7 Reorder the terms: -2 + 9x = 5(x + 1) + 4x + -7 Reorder the terms: -2 + 9x = 5(1 + x) + 4x + -7 -2 + 9x = (1 * 5 + x * 5) + 4x + -7 -2 + 9x = (5 + 5x) + 4x + -7 Reorder the terms: -2 + 9x = 5 + -7 + 5x + 4x Combine like terms: 5 + -7 = -2 -2 + 9x = -2 + 5x + 4x Combine like terms: 5x + 4x = 9x -2 + 9x = -2 + 9x Add '2' to each side of the equation. -2 + 2 + 9x = -2 + 2 + 9x Combine like terms: -2 + 2 = 0 0 + 9x = -2 + 2 + 9x 9x = -2 + 2 + 9x Combine like terms: -2 + 2 = 0 9x = 0 + 9x 9x = 9x Add '-9x' to each side of the equation. 9x + -9x = 9x + -9x Combine like terms: 9x + -9x = 0 0 = 9x + -9x Combine like terms: 9x + -9x = 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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