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Simplifying 13x + -7 = 12(x + -1) + x + 5 Reorder the terms: -7 + 13x = 12(x + -1) + x + 5 Reorder the terms: -7 + 13x = 12(-1 + x) + x + 5 -7 + 13x = (-1 * 12 + x * 12) + x + 5 -7 + 13x = (-12 + 12x) + x + 5 Reorder the terms: -7 + 13x = -12 + 5 + 12x + x Combine like terms: -12 + 5 = -7 -7 + 13x = -7 + 12x + x Combine like terms: 12x + x = 13x -7 + 13x = -7 + 13x Add '7' to each side of the equation. -7 + 7 + 13x = -7 + 7 + 13x Combine like terms: -7 + 7 = 0 0 + 13x = -7 + 7 + 13x 13x = -7 + 7 + 13x Combine like terms: -7 + 7 = 0 13x = 0 + 13x 13x = 13x Add '-13x' to each side of the equation. 13x + -13x = 13x + -13x Combine like terms: 13x + -13x = 0 0 = 13x + -13x Combine like terms: 13x + -13x = 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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