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Simplifying 5(3x + -9) + -2x = 15x + -2(x + -5) Reorder the terms: 5(-9 + 3x) + -2x = 15x + -2(x + -5) (-9 * 5 + 3x * 5) + -2x = 15x + -2(x + -5) (-45 + 15x) + -2x = 15x + -2(x + -5) Combine like terms: 15x + -2x = 13x -45 + 13x = 15x + -2(x + -5) Reorder the terms: -45 + 13x = 15x + -2(-5 + x) -45 + 13x = 15x + (-5 * -2 + x * -2) -45 + 13x = 15x + (10 + -2x) Reorder the terms: -45 + 13x = 10 + 15x + -2x Combine like terms: 15x + -2x = 13x -45 + 13x = 10 + 13x Add '-13x' to each side of the equation. -45 + 13x + -13x = 10 + 13x + -13x Combine like terms: 13x + -13x = 0 -45 + 0 = 10 + 13x + -13x -45 = 10 + 13x + -13x Combine like terms: 13x + -13x = 0 -45 = 10 + 0 -45 = 10 Solving -45 = 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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