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Simplifying -5(2x + 2) + -3x + 8 = 2x + 3 + -15x + 8 Reorder the terms: -5(2 + 2x) + -3x + 8 = 2x + 3 + -15x + 8 (2 * -5 + 2x * -5) + -3x + 8 = 2x + 3 + -15x + 8 (-10 + -10x) + -3x + 8 = 2x + 3 + -15x + 8 Reorder the terms: -10 + 8 + -10x + -3x = 2x + 3 + -15x + 8 Combine like terms: -10 + 8 = -2 -2 + -10x + -3x = 2x + 3 + -15x + 8 Combine like terms: -10x + -3x = -13x -2 + -13x = 2x + 3 + -15x + 8 Reorder the terms: -2 + -13x = 3 + 8 + 2x + -15x Combine like terms: 3 + 8 = 11 -2 + -13x = 11 + 2x + -15x Combine like terms: 2x + -15x = -13x -2 + -13x = 11 + -13x Add '13x' to each side of the equation. -2 + -13x + 13x = 11 + -13x + 13x Combine like terms: -13x + 13x = 0 -2 + 0 = 11 + -13x + 13x -2 = 11 + -13x + 13x Combine like terms: -13x + 13x = 0 -2 = 11 + 0 -2 = 11 Solving -2 = 11 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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