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Simplifying 9x + -1(x + -5) = 3x + 5(x + 1) Reorder the terms: 9x + -1(-5 + x) = 3x + 5(x + 1) 9x + (-5 * -1 + x * -1) = 3x + 5(x + 1) 9x + (5 + -1x) = 3x + 5(x + 1) Reorder the terms: 5 + 9x + -1x = 3x + 5(x + 1) Combine like terms: 9x + -1x = 8x 5 + 8x = 3x + 5(x + 1) Reorder the terms: 5 + 8x = 3x + 5(1 + x) 5 + 8x = 3x + (1 * 5 + x * 5) 5 + 8x = 3x + (5 + 5x) Reorder the terms: 5 + 8x = 5 + 3x + 5x Combine like terms: 3x + 5x = 8x 5 + 8x = 5 + 8x Add '-5' to each side of the equation. 5 + -5 + 8x = 5 + -5 + 8x Combine like terms: 5 + -5 = 0 0 + 8x = 5 + -5 + 8x 8x = 5 + -5 + 8x Combine like terms: 5 + -5 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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