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Simplifying 6x + -2(x + -6) = 4(x + 1) + 7 Reorder the terms: 6x + -2(-6 + x) = 4(x + 1) + 7 6x + (-6 * -2 + x * -2) = 4(x + 1) + 7 6x + (12 + -2x) = 4(x + 1) + 7 Reorder the terms: 12 + 6x + -2x = 4(x + 1) + 7 Combine like terms: 6x + -2x = 4x 12 + 4x = 4(x + 1) + 7 Reorder the terms: 12 + 4x = 4(1 + x) + 7 12 + 4x = (1 * 4 + x * 4) + 7 12 + 4x = (4 + 4x) + 7 Reorder the terms: 12 + 4x = 4 + 7 + 4x Combine like terms: 4 + 7 = 11 12 + 4x = 11 + 4x Add '-4x' to each side of the equation. 12 + 4x + -4x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 0 = 11 + 4x + -4x 12 = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 12 = 11 + 0 12 = 11 Solving 12 = 11 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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