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Simplifying 4(5z + -1) + -5(x + 7) = 8(z + 1) Reorder the terms: 4(-1 + 5z) + -5(x + 7) = 8(z + 1) (-1 * 4 + 5z * 4) + -5(x + 7) = 8(z + 1) (-4 + 20z) + -5(x + 7) = 8(z + 1) Reorder the terms: -4 + 20z + -5(7 + x) = 8(z + 1) -4 + 20z + (7 * -5 + x * -5) = 8(z + 1) -4 + 20z + (-35 + -5x) = 8(z + 1) Reorder the terms: -4 + -35 + -5x + 20z = 8(z + 1) Combine like terms: -4 + -35 = -39 -39 + -5x + 20z = 8(z + 1) Reorder the terms: -39 + -5x + 20z = 8(1 + z) -39 + -5x + 20z = (1 * 8 + z * 8) -39 + -5x + 20z = (8 + 8z) Solving -39 + -5x + 20z = 8 + 8z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + -5x + 39 + 20z = 8 + 39 + 8z Reorder the terms: -39 + 39 + -5x + 20z = 8 + 39 + 8z Combine like terms: -39 + 39 = 0 0 + -5x + 20z = 8 + 39 + 8z -5x + 20z = 8 + 39 + 8z Combine like terms: 8 + 39 = 47 -5x + 20z = 47 + 8z Add '-20z' to each side of the equation. -5x + 20z + -20z = 47 + 8z + -20z Combine like terms: 20z + -20z = 0 -5x + 0 = 47 + 8z + -20z -5x = 47 + 8z + -20z Combine like terms: 8z + -20z = -12z -5x = 47 + -12z Divide each side by '-5'. x = -9.4 + 2.4z Simplifying x = -9.4 + 2.4z
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