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Simplifying 4(x + -2) = 2x + 7 + 2(x + -10) Reorder the terms: 4(-2 + x) = 2x + 7 + 2(x + -10) (-2 * 4 + x * 4) = 2x + 7 + 2(x + -10) (-8 + 4x) = 2x + 7 + 2(x + -10) Reorder the terms: -8 + 4x = 2x + 7 + 2(-10 + x) -8 + 4x = 2x + 7 + (-10 * 2 + x * 2) -8 + 4x = 2x + 7 + (-20 + 2x) Reorder the terms: -8 + 4x = 7 + -20 + 2x + 2x Combine like terms: 7 + -20 = -13 -8 + 4x = -13 + 2x + 2x Combine like terms: 2x + 2x = 4x -8 + 4x = -13 + 4x Add '-4x' to each side of the equation. -8 + 4x + -4x = -13 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 0 = -13 + 4x + -4x -8 = -13 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 = -13 + 0 -8 = -13 Solving -8 = -13 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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