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Simplifying 6(x + -2) + 2z = 7z + 3(z + -2) Reorder the terms: 6(-2 + x) + 2z = 7z + 3(z + -2) (-2 * 6 + x * 6) + 2z = 7z + 3(z + -2) (-12 + 6x) + 2z = 7z + 3(z + -2) Reorder the terms: -12 + 6x + 2z = 7z + 3(-2 + z) -12 + 6x + 2z = 7z + (-2 * 3 + z * 3) -12 + 6x + 2z = 7z + (-6 + 3z) Reorder the terms: -12 + 6x + 2z = -6 + 7z + 3z Combine like terms: 7z + 3z = 10z -12 + 6x + 2z = -6 + 10z Solving -12 + 6x + 2z = -6 + 10z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 6x + 12 + 2z = -6 + 12 + 10z Reorder the terms: -12 + 12 + 6x + 2z = -6 + 12 + 10z Combine like terms: -12 + 12 = 0 0 + 6x + 2z = -6 + 12 + 10z 6x + 2z = -6 + 12 + 10z Combine like terms: -6 + 12 = 6 6x + 2z = 6 + 10z Add '-2z' to each side of the equation. 6x + 2z + -2z = 6 + 10z + -2z Combine like terms: 2z + -2z = 0 6x + 0 = 6 + 10z + -2z 6x = 6 + 10z + -2z Combine like terms: 10z + -2z = 8z 6x = 6 + 8z Divide each side by '6'. x = 1 + 1.333333333z Simplifying x = 1 + 1.333333333z
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