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Simplifying 2(2x + -3) + -6(x + -2) = -2(x + -4) + -1 Reorder the terms: 2(-3 + 2x) + -6(x + -2) = -2(x + -4) + -1 (-3 * 2 + 2x * 2) + -6(x + -2) = -2(x + -4) + -1 (-6 + 4x) + -6(x + -2) = -2(x + -4) + -1 Reorder the terms: -6 + 4x + -6(-2 + x) = -2(x + -4) + -1 -6 + 4x + (-2 * -6 + x * -6) = -2(x + -4) + -1 -6 + 4x + (12 + -6x) = -2(x + -4) + -1 Reorder the terms: -6 + 12 + 4x + -6x = -2(x + -4) + -1 Combine like terms: -6 + 12 = 6 6 + 4x + -6x = -2(x + -4) + -1 Combine like terms: 4x + -6x = -2x 6 + -2x = -2(x + -4) + -1 Reorder the terms: 6 + -2x = -2(-4 + x) + -1 6 + -2x = (-4 * -2 + x * -2) + -1 6 + -2x = (8 + -2x) + -1 Reorder the terms: 6 + -2x = 8 + -1 + -2x Combine like terms: 8 + -1 = 7 6 + -2x = 7 + -2x Add '2x' to each side of the equation. 6 + -2x + 2x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 0 = 7 + -2x + 2x 6 = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 6 = 7 + 0 6 = 7 Solving 6 = 7 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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