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Simplifying 5(x + 7) = 9x + 6 + -4x + 29 Reorder the terms: 5(7 + x) = 9x + 6 + -4x + 29 (7 * 5 + x * 5) = 9x + 6 + -4x + 29 (35 + 5x) = 9x + 6 + -4x + 29 Reorder the terms: 35 + 5x = 6 + 29 + 9x + -4x Combine like terms: 6 + 29 = 35 35 + 5x = 35 + 9x + -4x Combine like terms: 9x + -4x = 5x 35 + 5x = 35 + 5x Add '-35' to each side of the equation. 35 + -35 + 5x = 35 + -35 + 5x Combine like terms: 35 + -35 = 0 0 + 5x = 35 + -35 + 5x 5x = 35 + -35 + 5x Combine like terms: 35 + -35 = 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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