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Simplifying 4x + -7 = 10x + -1(7 + 6x) Reorder the terms: -7 + 4x = 10x + -1(7 + 6x) -7 + 4x = 10x + (7 * -1 + 6x * -1) -7 + 4x = 10x + (-7 + -6x) Reorder the terms: -7 + 4x = -7 + 10x + -6x Combine like terms: 10x + -6x = 4x -7 + 4x = -7 + 4x Add '7' to each side of the equation. -7 + 7 + 4x = -7 + 7 + 4x Combine like terms: -7 + 7 = 0 0 + 4x = -7 + 7 + 4x 4x = -7 + 7 + 4x Combine like terms: -7 + 7 = 0 4x = 0 + 4x 4x = 4x Add '-4x' to each side of the equation. 4x + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 4x + -4x Combine like terms: 4x + -4x = 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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