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Simplifying 18(x + -5) + -5(3x + 4) = 3x + -100 Reorder the terms: 18(-5 + x) + -5(3x + 4) = 3x + -100 (-5 * 18 + x * 18) + -5(3x + 4) = 3x + -100 (-90 + 18x) + -5(3x + 4) = 3x + -100 Reorder the terms: -90 + 18x + -5(4 + 3x) = 3x + -100 -90 + 18x + (4 * -5 + 3x * -5) = 3x + -100 -90 + 18x + (-20 + -15x) = 3x + -100 Reorder the terms: -90 + -20 + 18x + -15x = 3x + -100 Combine like terms: -90 + -20 = -110 -110 + 18x + -15x = 3x + -100 Combine like terms: 18x + -15x = 3x -110 + 3x = 3x + -100 Reorder the terms: -110 + 3x = -100 + 3x Add '-3x' to each side of the equation. -110 + 3x + -3x = -100 + 3x + -3x Combine like terms: 3x + -3x = 0 -110 + 0 = -100 + 3x + -3x -110 = -100 + 3x + -3x Combine like terms: 3x + -3x = 0 -110 = -100 + 0 -110 = -100 Solving -110 = -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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