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Simplifying 4(x + 6) = 9x + 7 + -5x + 17 Reorder the terms: 4(6 + x) = 9x + 7 + -5x + 17 (6 * 4 + x * 4) = 9x + 7 + -5x + 17 (24 + 4x) = 9x + 7 + -5x + 17 Reorder the terms: 24 + 4x = 7 + 17 + 9x + -5x Combine like terms: 7 + 17 = 24 24 + 4x = 24 + 9x + -5x Combine like terms: 9x + -5x = 4x 24 + 4x = 24 + 4x Add '-24' to each side of the equation. 24 + -24 + 4x = 24 + -24 + 4x Combine like terms: 24 + -24 = 0 0 + 4x = 24 + -24 + 4x 4x = 24 + -24 + 4x Combine like terms: 24 + -24 = 0 4x = 0 + 4x 4x = 4x Add '-4x' to each side of the equation. 4x + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 4x + -4x Combine like terms: 4x + -4x = 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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