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Simplifying 4(5x + -1) + -5(z + 8) = 11(z + 1) Reorder the terms: 4(-1 + 5x) + -5(z + 8) = 11(z + 1) (-1 * 4 + 5x * 4) + -5(z + 8) = 11(z + 1) (-4 + 20x) + -5(z + 8) = 11(z + 1) Reorder the terms: -4 + 20x + -5(8 + z) = 11(z + 1) -4 + 20x + (8 * -5 + z * -5) = 11(z + 1) -4 + 20x + (-40 + -5z) = 11(z + 1) Reorder the terms: -4 + -40 + 20x + -5z = 11(z + 1) Combine like terms: -4 + -40 = -44 -44 + 20x + -5z = 11(z + 1) Reorder the terms: -44 + 20x + -5z = 11(1 + z) -44 + 20x + -5z = (1 * 11 + z * 11) -44 + 20x + -5z = (11 + 11z) Solving -44 + 20x + -5z = 11 + 11z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 20x + 44 + -5z = 11 + 44 + 11z Reorder the terms: -44 + 44 + 20x + -5z = 11 + 44 + 11z Combine like terms: -44 + 44 = 0 0 + 20x + -5z = 11 + 44 + 11z 20x + -5z = 11 + 44 + 11z Combine like terms: 11 + 44 = 55 20x + -5z = 55 + 11z Add '5z' to each side of the equation. 20x + -5z + 5z = 55 + 11z + 5z Combine like terms: -5z + 5z = 0 20x + 0 = 55 + 11z + 5z 20x = 55 + 11z + 5z Combine like terms: 11z + 5z = 16z 20x = 55 + 16z Divide each side by '20'. x = 2.75 + 0.8z Simplifying x = 2.75 + 0.8z
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