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Simplifying 5(x + 6) + -10(x + -5) = -5x Reorder the terms: 5(6 + x) + -10(x + -5) = -5x (6 * 5 + x * 5) + -10(x + -5) = -5x (30 + 5x) + -10(x + -5) = -5x Reorder the terms: 30 + 5x + -10(-5 + x) = -5x 30 + 5x + (-5 * -10 + x * -10) = -5x 30 + 5x + (50 + -10x) = -5x Reorder the terms: 30 + 50 + 5x + -10x = -5x Combine like terms: 30 + 50 = 80 80 + 5x + -10x = -5x Combine like terms: 5x + -10x = -5x 80 + -5x = -5x Add '5x' to each side of the equation. 80 + -5x + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 80 + 0 = -5x + 5x 80 = -5x + 5x Combine like terms: -5x + 5x = 0 80 = 0 Solving 80 = 0 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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