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Simplifying 47x + -7 = 6(7x + -1) + 5x + -1 Reorder the terms: -7 + 47x = 6(7x + -1) + 5x + -1 Reorder the terms: -7 + 47x = 6(-1 + 7x) + 5x + -1 -7 + 47x = (-1 * 6 + 7x * 6) + 5x + -1 -7 + 47x = (-6 + 42x) + 5x + -1 Reorder the terms: -7 + 47x = -6 + -1 + 42x + 5x Combine like terms: -6 + -1 = -7 -7 + 47x = -7 + 42x + 5x Combine like terms: 42x + 5x = 47x -7 + 47x = -7 + 47x Add '7' to each side of the equation. -7 + 7 + 47x = -7 + 7 + 47x Combine like terms: -7 + 7 = 0 0 + 47x = -7 + 7 + 47x 47x = -7 + 7 + 47x Combine like terms: -7 + 7 = 0 47x = 0 + 47x 47x = 47x Add '-47x' to each side of the equation. 47x + -47x = 47x + -47x Combine like terms: 47x + -47x = 0 0 = 47x + -47x Combine like terms: 47x + -47x = 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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