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Simplifying 18(2x + -5) = 5(x + -4) Reorder the terms: 18(-5 + 2x) = 5(x + -4) (-5 * 18 + 2x * 18) = 5(x + -4) (-90 + 36x) = 5(x + -4) Reorder the terms: -90 + 36x = 5(-4 + x) -90 + 36x = (-4 * 5 + x * 5) -90 + 36x = (-20 + 5x) Solving -90 + 36x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -90 + 36x + -5x = -20 + 5x + -5x Combine like terms: 36x + -5x = 31x -90 + 31x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -90 + 31x = -20 + 0 -90 + 31x = -20 Add '90' to each side of the equation. -90 + 90 + 31x = -20 + 90 Combine like terms: -90 + 90 = 0 0 + 31x = -20 + 90 31x = -20 + 90 Combine like terms: -20 + 90 = 70 31x = 70 Divide each side by '31'. x = 2.258064516 Simplifying x = 2.258064516
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