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Simplifying 10x + -2(x + -1) = x + 2 + 7x Reorder the terms: 10x + -2(-1 + x) = x + 2 + 7x 10x + (-1 * -2 + x * -2) = x + 2 + 7x 10x + (2 + -2x) = x + 2 + 7x Reorder the terms: 2 + 10x + -2x = x + 2 + 7x Combine like terms: 10x + -2x = 8x 2 + 8x = x + 2 + 7x Reorder the terms: 2 + 8x = 2 + x + 7x Combine like terms: x + 7x = 8x 2 + 8x = 2 + 8x Add '-2' to each side of the equation. 2 + -2 + 8x = 2 + -2 + 8x Combine like terms: 2 + -2 = 0 0 + 8x = 2 + -2 + 8x 8x = 2 + -2 + 8x Combine like terms: 2 + -2 = 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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