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