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