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Simplifying 6x + -7 = 5(x + -1) + (x + -2) Reorder the terms: -7 + 6x = 5(x + -1) + (x + -2) Reorder the terms: -7 + 6x = 5(-1 + x) + (x + -2) -7 + 6x = (-1 * 5 + x * 5) + (x + -2) -7 + 6x = (-5 + 5x) + (x + -2) Reorder the terms: -7 + 6x = -5 + 5x + (-2 + x) Remove parenthesis around (-2 + x) -7 + 6x = -5 + 5x + -2 + x Reorder the terms: -7 + 6x = -5 + -2 + 5x + x Combine like terms: -5 + -2 = -7 -7 + 6x = -7 + 5x + x Combine like terms: 5x + x = 6x -7 + 6x = -7 + 6x Add '7' to each side of the equation. -7 + 7 + 6x = -7 + 7 + 6x Combine like terms: -7 + 7 = 0 0 + 6x = -7 + 7 + 6x 6x = -7 + 7 + 6x Combine like terms: -7 + 7 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 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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