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Simplifying (2x + -6) + 4(z + -3) = 0 Reorder the terms: (-6 + 2x) + 4(z + -3) = 0 Remove parenthesis around (-6 + 2x) -6 + 2x + 4(z + -3) = 0 Reorder the terms: -6 + 2x + 4(-3 + z) = 0 -6 + 2x + (-3 * 4 + z * 4) = 0 -6 + 2x + (-12 + 4z) = 0 Reorder the terms: -6 + -12 + 2x + 4z = 0 Combine like terms: -6 + -12 = -18 -18 + 2x + 4z = 0 Solving -18 + 2x + 4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 2x + 18 + 4z = 0 + 18 Reorder the terms: -18 + 18 + 2x + 4z = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 2x + 4z = 0 + 18 2x + 4z = 0 + 18 Combine like terms: 0 + 18 = 18 2x + 4z = 18 Add '-4z' to each side of the equation. 2x + 4z + -4z = 18 + -4z Combine like terms: 4z + -4z = 0 2x + 0 = 18 + -4z 2x = 18 + -4z Divide each side by '2'. x = 9 + -2z Simplifying x = 9 + -2z
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