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Simplifying -13 = 5(1 + 4x) + -2z -13 = (1 * 5 + 4x * 5) + -2z -13 = (5 + 20x) + -2z Solving -13 = 5 + 20x + -2z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -13 + -20x = 5 + 20x + -20x + -2z Combine like terms: 20x + -20x = 0 -13 + -20x = 5 + 0 + -2z -13 + -20x = 5 + -2z Add '13' to each side of the equation. -13 + 13 + -20x = 5 + 13 + -2z Combine like terms: -13 + 13 = 0 0 + -20x = 5 + 13 + -2z -20x = 5 + 13 + -2z Combine like terms: 5 + 13 = 18 -20x = 18 + -2z Divide each side by '-20'. x = -0.9 + 0.1z Simplifying x = -0.9 + 0.1z
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