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Simplifying 4(x + -5) + 7 = 2x + 2(-5 + x) Reorder the terms: 4(-5 + x) + 7 = 2x + 2(-5 + x) (-5 * 4 + x * 4) + 7 = 2x + 2(-5 + x) (-20 + 4x) + 7 = 2x + 2(-5 + x) Reorder the terms: -20 + 7 + 4x = 2x + 2(-5 + x) Combine like terms: -20 + 7 = -13 -13 + 4x = 2x + 2(-5 + x) -13 + 4x = 2x + (-5 * 2 + x * 2) -13 + 4x = 2x + (-10 + 2x) Reorder the terms: -13 + 4x = -10 + 2x + 2x Combine like terms: 2x + 2x = 4x -13 + 4x = -10 + 4x Add '-4x' to each side of the equation. -13 + 4x + -4x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + 0 = -10 + 4x + -4x -13 = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 = -10 + 0 -13 = -10 Solving -13 = -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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