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Simplifying 46x + -41 = 7(6x + -6) + 4x + 1 Reorder the terms: -41 + 46x = 7(6x + -6) + 4x + 1 Reorder the terms: -41 + 46x = 7(-6 + 6x) + 4x + 1 -41 + 46x = (-6 * 7 + 6x * 7) + 4x + 1 -41 + 46x = (-42 + 42x) + 4x + 1 Reorder the terms: -41 + 46x = -42 + 1 + 42x + 4x Combine like terms: -42 + 1 = -41 -41 + 46x = -41 + 42x + 4x Combine like terms: 42x + 4x = 46x -41 + 46x = -41 + 46x Add '41' to each side of the equation. -41 + 41 + 46x = -41 + 41 + 46x Combine like terms: -41 + 41 = 0 0 + 46x = -41 + 41 + 46x 46x = -41 + 41 + 46x Combine like terms: -41 + 41 = 0 46x = 0 + 46x 46x = 46x Add '-46x' to each side of the equation. 46x + -46x = 46x + -46x Combine like terms: 46x + -46x = 0 0 = 46x + -46x Combine like terms: 46x + -46x = 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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