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Simplifying 15 + -7x = 8 + -7(x + -1) Reorder the terms: 15 + -7x = 8 + -7(-1 + x) 15 + -7x = 8 + (-1 * -7 + x * -7) 15 + -7x = 8 + (7 + -7x) Combine like terms: 8 + 7 = 15 15 + -7x = 15 + -7x Add '-15' to each side of the equation. 15 + -15 + -7x = 15 + -15 + -7x Combine like terms: 15 + -15 = 0 0 + -7x = 15 + -15 + -7x -7x = 15 + -15 + -7x Combine like terms: 15 + -15 = 0 -7x = 0 + -7x -7x = -7x Add '7x' to each side of the equation. -7x + 7x = -7x + 7x Combine like terms: -7x + 7x = 0 0 = -7x + 7x Combine like terms: -7x + 7x = 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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