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Simplifying 3(x + -2) + 4(x + -5) = 7x + 8 Reorder the terms: 3(-2 + x) + 4(x + -5) = 7x + 8 (-2 * 3 + x * 3) + 4(x + -5) = 7x + 8 (-6 + 3x) + 4(x + -5) = 7x + 8 Reorder the terms: -6 + 3x + 4(-5 + x) = 7x + 8 -6 + 3x + (-5 * 4 + x * 4) = 7x + 8 -6 + 3x + (-20 + 4x) = 7x + 8 Reorder the terms: -6 + -20 + 3x + 4x = 7x + 8 Combine like terms: -6 + -20 = -26 -26 + 3x + 4x = 7x + 8 Combine like terms: 3x + 4x = 7x -26 + 7x = 7x + 8 Reorder the terms: -26 + 7x = 8 + 7x Add '-7x' to each side of the equation. -26 + 7x + -7x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 -26 + 0 = 8 + 7x + -7x -26 = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 -26 = 8 + 0 -26 = 8 Solving -26 = 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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