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Simplifying 3(x + -4) + 7 = 5x + -2(4 + x) Reorder the terms: 3(-4 + x) + 7 = 5x + -2(4 + x) (-4 * 3 + x * 3) + 7 = 5x + -2(4 + x) (-12 + 3x) + 7 = 5x + -2(4 + x) Reorder the terms: -12 + 7 + 3x = 5x + -2(4 + x) Combine like terms: -12 + 7 = -5 -5 + 3x = 5x + -2(4 + x) -5 + 3x = 5x + (4 * -2 + x * -2) -5 + 3x = 5x + (-8 + -2x) Reorder the terms: -5 + 3x = -8 + 5x + -2x Combine like terms: 5x + -2x = 3x -5 + 3x = -8 + 3x Add '-3x' to each side of the equation. -5 + 3x + -3x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 0 = -8 + 3x + -3x -5 = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 = -8 + 0 -5 = -8 Solving -5 = -8 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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