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Simplifying 10x + -1 = 2(2x + -1) + 6x + 1 Reorder the terms: -1 + 10x = 2(2x + -1) + 6x + 1 Reorder the terms: -1 + 10x = 2(-1 + 2x) + 6x + 1 -1 + 10x = (-1 * 2 + 2x * 2) + 6x + 1 -1 + 10x = (-2 + 4x) + 6x + 1 Reorder the terms: -1 + 10x = -2 + 1 + 4x + 6x Combine like terms: -2 + 1 = -1 -1 + 10x = -1 + 4x + 6x Combine like terms: 4x + 6x = 10x -1 + 10x = -1 + 10x Add '1' to each side of the equation. -1 + 1 + 10x = -1 + 1 + 10x Combine like terms: -1 + 1 = 0 0 + 10x = -1 + 1 + 10x 10x = -1 + 1 + 10x Combine like terms: -1 + 1 = 0 10x = 0 + 10x 10x = 10x Add '-10x' to each side of the equation. 10x + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 0 = 10x + -10x Combine like terms: 10x + -10x = 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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