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Simplifying 6(x + -7) + x = 7(x + -7) + 7 Reorder the terms: 6(-7 + x) + x = 7(x + -7) + 7 (-7 * 6 + x * 6) + x = 7(x + -7) + 7 (-42 + 6x) + x = 7(x + -7) + 7 Combine like terms: 6x + x = 7x -42 + 7x = 7(x + -7) + 7 Reorder the terms: -42 + 7x = 7(-7 + x) + 7 -42 + 7x = (-7 * 7 + x * 7) + 7 -42 + 7x = (-49 + 7x) + 7 Reorder the terms: -42 + 7x = -49 + 7 + 7x Combine like terms: -49 + 7 = -42 -42 + 7x = -42 + 7x Add '42' to each side of the equation. -42 + 42 + 7x = -42 + 42 + 7x Combine like terms: -42 + 42 = 0 0 + 7x = -42 + 42 + 7x 7x = -42 + 42 + 7x Combine like terms: -42 + 42 = 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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