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Simplifying 2x + -11 = 4(x + -3) + -2(x + -1) Reorder the terms: -11 + 2x = 4(x + -3) + -2(x + -1) Reorder the terms: -11 + 2x = 4(-3 + x) + -2(x + -1) -11 + 2x = (-3 * 4 + x * 4) + -2(x + -1) -11 + 2x = (-12 + 4x) + -2(x + -1) Reorder the terms: -11 + 2x = -12 + 4x + -2(-1 + x) -11 + 2x = -12 + 4x + (-1 * -2 + x * -2) -11 + 2x = -12 + 4x + (2 + -2x) Reorder the terms: -11 + 2x = -12 + 2 + 4x + -2x Combine like terms: -12 + 2 = -10 -11 + 2x = -10 + 4x + -2x Combine like terms: 4x + -2x = 2x -11 + 2x = -10 + 2x Add '-2x' to each side of the equation. -11 + 2x + -2x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -11 + 0 = -10 + 2x + -2x -11 = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -11 = -10 + 0 -11 = -10 Solving -11 = -10 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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