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Simplifying 5(8z + -5) + -1[2(5x + -3) + 5] = 0 Reorder the terms: 5(-5 + 8z) + -1[2(5x + -3) + 5] = 0 (-5 * 5 + 8z * 5) + -1[2(5x + -3) + 5] = 0 (-25 + 40z) + -1[2(5x + -3) + 5] = 0 Reorder the terms: -25 + 40z + -1[2(-3 + 5x) + 5] = 0 -25 + 40z + -1[(-3 * 2 + 5x * 2) + 5] = 0 -25 + 40z + -1[(-6 + 10x) + 5] = 0 Reorder the terms: -25 + 40z + -1[-6 + 5 + 10x] = 0 Combine like terms: -6 + 5 = -1 -25 + 40z + -1[-1 + 10x] = 0 -25 + 40z + [-1 * -1 + 10x * -1] = 0 -25 + 40z + [1 + -10x] = 0 Reorder the terms: -25 + 1 + -10x + 40z = 0 Combine like terms: -25 + 1 = -24 -24 + -10x + 40z = 0 Solving -24 + -10x + 40z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -10x + 24 + 40z = 0 + 24 Reorder the terms: -24 + 24 + -10x + 40z = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -10x + 40z = 0 + 24 -10x + 40z = 0 + 24 Combine like terms: 0 + 24 = 24 -10x + 40z = 24 Add '-40z' to each side of the equation. -10x + 40z + -40z = 24 + -40z Combine like terms: 40z + -40z = 0 -10x + 0 = 24 + -40z -10x = 24 + -40z Divide each side by '-10'. x = -2.4 + 4z Simplifying x = -2.4 + 4z
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