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Simplifying 8 + 10(x + -2) = 15x + -5(x + 4) Reorder the terms: 8 + 10(-2 + x) = 15x + -5(x + 4) 8 + (-2 * 10 + x * 10) = 15x + -5(x + 4) 8 + (-20 + 10x) = 15x + -5(x + 4) Combine like terms: 8 + -20 = -12 -12 + 10x = 15x + -5(x + 4) Reorder the terms: -12 + 10x = 15x + -5(4 + x) -12 + 10x = 15x + (4 * -5 + x * -5) -12 + 10x = 15x + (-20 + -5x) Reorder the terms: -12 + 10x = -20 + 15x + -5x Combine like terms: 15x + -5x = 10x -12 + 10x = -20 + 10x Add '-10x' to each side of the equation. -12 + 10x + -10x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + 0 = -20 + 10x + -10x -12 = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 = -20 + 0 -12 = -20 Solving -12 = -20 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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