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Simplifying -1(x + -5) + 5 = 9x + 10(1 + -1x) Reorder the terms: -1(-5 + x) + 5 = 9x + 10(1 + -1x) (-5 * -1 + x * -1) + 5 = 9x + 10(1 + -1x) (5 + -1x) + 5 = 9x + 10(1 + -1x) Reorder the terms: 5 + 5 + -1x = 9x + 10(1 + -1x) Combine like terms: 5 + 5 = 10 10 + -1x = 9x + 10(1 + -1x) 10 + -1x = 9x + (1 * 10 + -1x * 10) 10 + -1x = 9x + (10 + -10x) Reorder the terms: 10 + -1x = 10 + 9x + -10x Combine like terms: 9x + -10x = -1x 10 + -1x = 10 + -1x Add '-10' to each side of the equation. 10 + -10 + -1x = 10 + -10 + -1x Combine like terms: 10 + -10 = 0 0 + -1x = 10 + -10 + -1x -1x = 10 + -10 + -1x Combine like terms: 10 + -10 = 0 -1x = 0 + -1x -1x = -1x Add 'x' to each side of the equation. -1x + x = -1x + x Combine like terms: -1x + x = 0 0 = -1x + x Combine like terms: -1x + x = 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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