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