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Simplifying 5(x + 3) = 10(x + -1z) Reorder the terms: 5(3 + x) = 10(x + -1z) (3 * 5 + x * 5) = 10(x + -1z) (15 + 5x) = 10(x + -1z) 15 + 5x = (x * 10 + -1z * 10) 15 + 5x = (10x + -10z) Solving 15 + 5x = 10x + -10z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 15 + 5x + -10x = 10x + -10x + -10z Combine like terms: 5x + -10x = -5x 15 + -5x = 10x + -10x + -10z Combine like terms: 10x + -10x = 0 15 + -5x = 0 + -10z 15 + -5x = -10z Add '-15' to each side of the equation. 15 + -15 + -5x = -15 + -10z Combine like terms: 15 + -15 = 0 0 + -5x = -15 + -10z -5x = -15 + -10z Divide each side by '-5'. x = 3 + 2z Simplifying x = 3 + 2z
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