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Simplifying 8z + -6x + 6 = 5x + -1x Reorder the terms: 6 + -6x + 8z = 5x + -1x Combine like terms: 5x + -1x = 4x 6 + -6x + 8z = 4x Solving 6 + -6x + 8z = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + -6x + -4x + 8z = 4x + -4x Combine like terms: -6x + -4x = -10x 6 + -10x + 8z = 4x + -4x Combine like terms: 4x + -4x = 0 6 + -10x + 8z = 0 Add '-6' to each side of the equation. 6 + -10x + -6 + 8z = 0 + -6 Reorder the terms: 6 + -6 + -10x + 8z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -10x + 8z = 0 + -6 -10x + 8z = 0 + -6 Combine like terms: 0 + -6 = -6 -10x + 8z = -6 Add '-8z' to each side of the equation. -10x + 8z + -8z = -6 + -8z Combine like terms: 8z + -8z = 0 -10x + 0 = -6 + -8z -10x = -6 + -8z Divide each side by '-10'. x = 0.6 + 0.8z Simplifying x = 0.6 + 0.8z
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