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Simplifying 2(x + -5) + 7 = 4x + -2(1 + x) Reorder the terms: 2(-5 + x) + 7 = 4x + -2(1 + x) (-5 * 2 + x * 2) + 7 = 4x + -2(1 + x) (-10 + 2x) + 7 = 4x + -2(1 + x) Reorder the terms: -10 + 7 + 2x = 4x + -2(1 + x) Combine like terms: -10 + 7 = -3 -3 + 2x = 4x + -2(1 + x) -3 + 2x = 4x + (1 * -2 + x * -2) -3 + 2x = 4x + (-2 + -2x) Reorder the terms: -3 + 2x = -2 + 4x + -2x Combine like terms: 4x + -2x = 2x -3 + 2x = -2 + 2x Add '-2x' to each side of the equation. -3 + 2x + -2x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 0 = -2 + 2x + -2x -3 = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 = -2 + 0 -3 = -2 Solving -3 = -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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