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Simplifying 3x + -7 + 4x = 7(x + -1) Reorder the terms: -7 + 3x + 4x = 7(x + -1) Combine like terms: 3x + 4x = 7x -7 + 7x = 7(x + -1) Reorder the terms: -7 + 7x = 7(-1 + x) -7 + 7x = (-1 * 7 + x * 7) -7 + 7x = (-7 + 7x) Add '7' to each side of the equation. -7 + 7 + 7x = -7 + 7 + 7x Combine like terms: -7 + 7 = 0 0 + 7x = -7 + 7 + 7x 7x = -7 + 7 + 7x Combine like terms: -7 + 7 = 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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