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Simplifying 8x + -1(5 + -1x) = 2(x + -3) + 7x + 1 8x + (5 * -1 + -1x * -1) = 2(x + -3) + 7x + 1 8x + (-5 + 1x) = 2(x + -3) + 7x + 1 Reorder the terms: -5 + 8x + 1x = 2(x + -3) + 7x + 1 Combine like terms: 8x + 1x = 9x -5 + 9x = 2(x + -3) + 7x + 1 Reorder the terms: -5 + 9x = 2(-3 + x) + 7x + 1 -5 + 9x = (-3 * 2 + x * 2) + 7x + 1 -5 + 9x = (-6 + 2x) + 7x + 1 Reorder the terms: -5 + 9x = -6 + 1 + 2x + 7x Combine like terms: -6 + 1 = -5 -5 + 9x = -5 + 2x + 7x Combine like terms: 2x + 7x = 9x -5 + 9x = -5 + 9x Add '5' to each side of the equation. -5 + 5 + 9x = -5 + 5 + 9x Combine like terms: -5 + 5 = 0 0 + 9x = -5 + 5 + 9x 9x = -5 + 5 + 9x Combine like terms: -5 + 5 = 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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