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Simplifying -6x + -1(-6z + 3) + (15x + 5) = 0 Reorder the terms: -6x + -1(3 + -6z) + (15x + 5) = 0 -6x + (3 * -1 + -6z * -1) + (15x + 5) = 0 -6x + (-3 + 6z) + (15x + 5) = 0 Reorder the terms: -6x + -3 + 6z + (5 + 15x) = 0 Remove parenthesis around (5 + 15x) -6x + -3 + 6z + 5 + 15x = 0 Reorder the terms: -3 + 5 + -6x + 15x + 6z = 0 Combine like terms: -3 + 5 = 2 2 + -6x + 15x + 6z = 0 Combine like terms: -6x + 15x = 9x 2 + 9x + 6z = 0 Solving 2 + 9x + 6z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 9x + -2 + 6z = 0 + -2 Reorder the terms: 2 + -2 + 9x + 6z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9x + 6z = 0 + -2 9x + 6z = 0 + -2 Combine like terms: 0 + -2 = -2 9x + 6z = -2 Add '-6z' to each side of the equation. 9x + 6z + -6z = -2 + -6z Combine like terms: 6z + -6z = 0 9x + 0 = -2 + -6z 9x = -2 + -6z Divide each side by '9'. x = -0.2222222222 + -0.6666666667z Simplifying x = -0.2222222222 + -0.6666666667z
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