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Simplifying 6(x + -6) + x = 7(x + -7) + 13 Reorder the terms: 6(-6 + x) + x = 7(x + -7) + 13 (-6 * 6 + x * 6) + x = 7(x + -7) + 13 (-36 + 6x) + x = 7(x + -7) + 13 Combine like terms: 6x + x = 7x -36 + 7x = 7(x + -7) + 13 Reorder the terms: -36 + 7x = 7(-7 + x) + 13 -36 + 7x = (-7 * 7 + x * 7) + 13 -36 + 7x = (-49 + 7x) + 13 Reorder the terms: -36 + 7x = -49 + 13 + 7x Combine like terms: -49 + 13 = -36 -36 + 7x = -36 + 7x Add '36' to each side of the equation. -36 + 36 + 7x = -36 + 36 + 7x Combine like terms: -36 + 36 = 0 0 + 7x = -36 + 36 + 7x 7x = -36 + 36 + 7x Combine like terms: -36 + 36 = 0 7x = 0 + 7x 7x = 7x Add '-7x' to each side of the equation. 7x + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 0 = 7x + -7x Combine like terms: 7x + -7x = 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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