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Simplifying 2(x + -3) + -6(2x + 1) = -5(2x + 20) Reorder the terms: 2(-3 + x) + -6(2x + 1) = -5(2x + 20) (-3 * 2 + x * 2) + -6(2x + 1) = -5(2x + 20) (-6 + 2x) + -6(2x + 1) = -5(2x + 20) Reorder the terms: -6 + 2x + -6(1 + 2x) = -5(2x + 20) -6 + 2x + (1 * -6 + 2x * -6) = -5(2x + 20) -6 + 2x + (-6 + -12x) = -5(2x + 20) Reorder the terms: -6 + -6 + 2x + -12x = -5(2x + 20) Combine like terms: -6 + -6 = -12 -12 + 2x + -12x = -5(2x + 20) Combine like terms: 2x + -12x = -10x -12 + -10x = -5(2x + 20) Reorder the terms: -12 + -10x = -5(20 + 2x) -12 + -10x = (20 * -5 + 2x * -5) -12 + -10x = (-100 + -10x) Add '10x' to each side of the equation. -12 + -10x + 10x = -100 + -10x + 10x Combine like terms: -10x + 10x = 0 -12 + 0 = -100 + -10x + 10x -12 = -100 + -10x + 10x Combine like terms: -10x + 10x = 0 -12 = -100 + 0 -12 = -100 Solving -12 = -100 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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