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Simplifying 5[1 + -2(2x + -1)] = -3(3z + -1) + 1 Reorder the terms: 5[1 + -2(-1 + 2x)] = -3(3z + -1) + 1 5[1 + (-1 * -2 + 2x * -2)] = -3(3z + -1) + 1 5[1 + (2 + -4x)] = -3(3z + -1) + 1 Combine like terms: 1 + 2 = 3 5[3 + -4x] = -3(3z + -1) + 1 [3 * 5 + -4x * 5] = -3(3z + -1) + 1 [15 + -20x] = -3(3z + -1) + 1 Reorder the terms: 15 + -20x = -3(-1 + 3z) + 1 15 + -20x = (-1 * -3 + 3z * -3) + 1 15 + -20x = (3 + -9z) + 1 Reorder the terms: 15 + -20x = 3 + 1 + -9z Combine like terms: 3 + 1 = 4 15 + -20x = 4 + -9z Solving 15 + -20x = 4 + -9z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -20x = 4 + -15 + -9z Combine like terms: 15 + -15 = 0 0 + -20x = 4 + -15 + -9z -20x = 4 + -15 + -9z Combine like terms: 4 + -15 = -11 -20x = -11 + -9z Divide each side by '-20'. x = 0.55 + 0.45z Simplifying x = 0.55 + 0.45z
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