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Simplifying 3(x + 2) + -5 = 7x + -1(4x + -1) Reorder the terms: 3(2 + x) + -5 = 7x + -1(4x + -1) (2 * 3 + x * 3) + -5 = 7x + -1(4x + -1) (6 + 3x) + -5 = 7x + -1(4x + -1) Reorder the terms: 6 + -5 + 3x = 7x + -1(4x + -1) Combine like terms: 6 + -5 = 1 1 + 3x = 7x + -1(4x + -1) Reorder the terms: 1 + 3x = 7x + -1(-1 + 4x) 1 + 3x = 7x + (-1 * -1 + 4x * -1) 1 + 3x = 7x + (1 + -4x) Reorder the terms: 1 + 3x = 1 + 7x + -4x Combine like terms: 7x + -4x = 3x 1 + 3x = 1 + 3x Add '-1' to each side of the equation. 1 + -1 + 3x = 1 + -1 + 3x Combine like terms: 1 + -1 = 0 0 + 3x = 1 + -1 + 3x 3x = 1 + -1 + 3x Combine like terms: 1 + -1 = 0 3x = 0 + 3x 3x = 3x Add '-3x' to each side of the equation. 3x + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 0 = 3x + -3x Combine like terms: 3x + -3x = 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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