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Simplifying 2(x + -4) + 7 = 4x + -2(3 + x) Reorder the terms: 2(-4 + x) + 7 = 4x + -2(3 + x) (-4 * 2 + x * 2) + 7 = 4x + -2(3 + x) (-8 + 2x) + 7 = 4x + -2(3 + x) Reorder the terms: -8 + 7 + 2x = 4x + -2(3 + x) Combine like terms: -8 + 7 = -1 -1 + 2x = 4x + -2(3 + x) -1 + 2x = 4x + (3 * -2 + x * -2) -1 + 2x = 4x + (-6 + -2x) Reorder the terms: -1 + 2x = -6 + 4x + -2x Combine like terms: 4x + -2x = 2x -1 + 2x = -6 + 2x Add '-2x' to each side of the equation. -1 + 2x + -2x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 0 = -6 + 2x + -2x -1 = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 = -6 + 0 -1 = -6 Solving -1 = -6 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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