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Simplifying 9(x + 4) + -5(x + 4) = 4x + 16 Reorder the terms: 9(4 + x) + -5(x + 4) = 4x + 16 (4 * 9 + x * 9) + -5(x + 4) = 4x + 16 (36 + 9x) + -5(x + 4) = 4x + 16 Reorder the terms: 36 + 9x + -5(4 + x) = 4x + 16 36 + 9x + (4 * -5 + x * -5) = 4x + 16 36 + 9x + (-20 + -5x) = 4x + 16 Reorder the terms: 36 + -20 + 9x + -5x = 4x + 16 Combine like terms: 36 + -20 = 16 16 + 9x + -5x = 4x + 16 Combine like terms: 9x + -5x = 4x 16 + 4x = 4x + 16 Reorder the terms: 16 + 4x = 16 + 4x Add '-16' to each side of the equation. 16 + -16 + 4x = 16 + -16 + 4x Combine like terms: 16 + -16 = 0 0 + 4x = 16 + -16 + 4x 4x = 16 + -16 + 4x Combine like terms: 16 + -16 = 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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