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Simplifying 4(4x + -5) = 5(x + -2) + 18 Reorder the terms: 4(-5 + 4x) = 5(x + -2) + 18 (-5 * 4 + 4x * 4) = 5(x + -2) + 18 (-20 + 16x) = 5(x + -2) + 18 Reorder the terms: -20 + 16x = 5(-2 + x) + 18 -20 + 16x = (-2 * 5 + x * 5) + 18 -20 + 16x = (-10 + 5x) + 18 Reorder the terms: -20 + 16x = -10 + 18 + 5x Combine like terms: -10 + 18 = 8 -20 + 16x = 8 + 5x Solving -20 + 16x = 8 + 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. -20 + 16x + -5x = 8 + 5x + -5x Combine like terms: 16x + -5x = 11x -20 + 11x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + 11x = 8 + 0 -20 + 11x = 8 Add '20' to each side of the equation. -20 + 20 + 11x = 8 + 20 Combine like terms: -20 + 20 = 0 0 + 11x = 8 + 20 11x = 8 + 20 Combine like terms: 8 + 20 = 28 11x = 28 Divide each side by '11'. x = 2.545454545 Simplifying x = 2.545454545
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