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Simplifying (x + -4) + 5(x + -3) = 2(3x + -5) Reorder the terms: (-4 + x) + 5(x + -3) = 2(3x + -5) Remove parenthesis around (-4 + x) -4 + x + 5(x + -3) = 2(3x + -5) Reorder the terms: -4 + x + 5(-3 + x) = 2(3x + -5) -4 + x + (-3 * 5 + x * 5) = 2(3x + -5) -4 + x + (-15 + 5x) = 2(3x + -5) Reorder the terms: -4 + -15 + x + 5x = 2(3x + -5) Combine like terms: -4 + -15 = -19 -19 + x + 5x = 2(3x + -5) Combine like terms: x + 5x = 6x -19 + 6x = 2(3x + -5) Reorder the terms: -19 + 6x = 2(-5 + 3x) -19 + 6x = (-5 * 2 + 3x * 2) -19 + 6x = (-10 + 6x) Add '-6x' to each side of the equation. -19 + 6x + -6x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 -19 + 0 = -10 + 6x + -6x -19 = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 -19 = -10 + 0 -19 = -10 Solving -19 = -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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