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Simplifying 5(x + -1) + x = 6(x + -2) + 7 Reorder the terms: 5(-1 + x) + x = 6(x + -2) + 7 (-1 * 5 + x * 5) + x = 6(x + -2) + 7 (-5 + 5x) + x = 6(x + -2) + 7 Combine like terms: 5x + x = 6x -5 + 6x = 6(x + -2) + 7 Reorder the terms: -5 + 6x = 6(-2 + x) + 7 -5 + 6x = (-2 * 6 + x * 6) + 7 -5 + 6x = (-12 + 6x) + 7 Reorder the terms: -5 + 6x = -12 + 7 + 6x Combine like terms: -12 + 7 = -5 -5 + 6x = -5 + 6x Add '5' to each side of the equation. -5 + 5 + 6x = -5 + 5 + 6x Combine like terms: -5 + 5 = 0 0 + 6x = -5 + 5 + 6x 6x = -5 + 5 + 6x Combine like terms: -5 + 5 = 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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