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Simplifying 4x + 2(6 + -5x) = -2x + -4(x + -1) 4x + (6 * 2 + -5x * 2) = -2x + -4(x + -1) 4x + (12 + -10x) = -2x + -4(x + -1) Reorder the terms: 12 + 4x + -10x = -2x + -4(x + -1) Combine like terms: 4x + -10x = -6x 12 + -6x = -2x + -4(x + -1) Reorder the terms: 12 + -6x = -2x + -4(-1 + x) 12 + -6x = -2x + (-1 * -4 + x * -4) 12 + -6x = -2x + (4 + -4x) Reorder the terms: 12 + -6x = 4 + -2x + -4x Combine like terms: -2x + -4x = -6x 12 + -6x = 4 + -6x Add '6x' to each side of the equation. 12 + -6x + 6x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + 0 = 4 + -6x + 6x 12 = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 12 = 4 + 0 12 = 4 Solving 12 = 4 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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