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Simplifying -5 + -1(9x + 8) + 23 = 7 + x + -1(10x + -3) Reorder the terms: -5 + -1(8 + 9x) + 23 = 7 + x + -1(10x + -3) -5 + (8 * -1 + 9x * -1) + 23 = 7 + x + -1(10x + -3) -5 + (-8 + -9x) + 23 = 7 + x + -1(10x + -3) Reorder the terms: -5 + -8 + 23 + -9x = 7 + x + -1(10x + -3) Combine like terms: -5 + -8 = -13 -13 + 23 + -9x = 7 + x + -1(10x + -3) Combine like terms: -13 + 23 = 10 10 + -9x = 7 + x + -1(10x + -3) Reorder the terms: 10 + -9x = 7 + x + -1(-3 + 10x) 10 + -9x = 7 + x + (-3 * -1 + 10x * -1) 10 + -9x = 7 + x + (3 + -10x) Reorder the terms: 10 + -9x = 7 + 3 + x + -10x Combine like terms: 7 + 3 = 10 10 + -9x = 10 + x + -10x Combine like terms: x + -10x = -9x 10 + -9x = 10 + -9x Add '-10' to each side of the equation. 10 + -10 + -9x = 10 + -10 + -9x Combine like terms: 10 + -10 = 0 0 + -9x = 10 + -10 + -9x -9x = 10 + -10 + -9x Combine like terms: 10 + -10 = 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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