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Simplifying 2z + 8 + -5x = 7x + 2 Reorder the terms: 8 + -5x + 2z = 7x + 2 Reorder the terms: 8 + -5x + 2z = 2 + 7x Solving 8 + -5x + 2z = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + -5x + -7x + 2z = 2 + 7x + -7x Combine like terms: -5x + -7x = -12x 8 + -12x + 2z = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -12x + 2z = 2 + 0 8 + -12x + 2z = 2 Add '-8' to each side of the equation. 8 + -12x + -8 + 2z = 2 + -8 Reorder the terms: 8 + -8 + -12x + 2z = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -12x + 2z = 2 + -8 -12x + 2z = 2 + -8 Combine like terms: 2 + -8 = -6 -12x + 2z = -6 Add '-2z' to each side of the equation. -12x + 2z + -2z = -6 + -2z Combine like terms: 2z + -2z = 0 -12x + 0 = -6 + -2z -12x = -6 + -2z Divide each side by '-12'. x = 0.5 + 0.1666666667z Simplifying x = 0.5 + 0.1666666667z
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