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Simplifying 4x + 1 = 6x + 1 + -2(x + 1) Reorder the terms: 1 + 4x = 6x + 1 + -2(x + 1) Reorder the terms: 1 + 4x = 6x + 1 + -2(1 + x) 1 + 4x = 6x + 1 + (1 * -2 + x * -2) 1 + 4x = 6x + 1 + (-2 + -2x) Reorder the terms: 1 + 4x = 1 + -2 + 6x + -2x Combine like terms: 1 + -2 = -1 1 + 4x = -1 + 6x + -2x Combine like terms: 6x + -2x = 4x 1 + 4x = -1 + 4x Add '-4x' to each side of the equation. 1 + 4x + -4x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + 0 = -1 + 4x + -4x 1 = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 1 = -1 + 0 1 = -1 Solving 1 = -1 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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