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Simplifying 3(-6x + 34) + -6y = 30 Reorder the terms: 3(34 + -6x) + -6y = 30 (34 * 3 + -6x * 3) + -6y = 30 (102 + -18x) + -6y = 30 Solving 102 + -18x + -6y = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-102' to each side of the equation. 102 + -18x + -102 + -6y = 30 + -102 Reorder the terms: 102 + -102 + -18x + -6y = 30 + -102 Combine like terms: 102 + -102 = 0 0 + -18x + -6y = 30 + -102 -18x + -6y = 30 + -102 Combine like terms: 30 + -102 = -72 -18x + -6y = -72 Add '6y' to each side of the equation. -18x + -6y + 6y = -72 + 6y Combine like terms: -6y + 6y = 0 -18x + 0 = -72 + 6y -18x = -72 + 6y Divide each side by '-18'. x = 4 + -0.3333333333y Simplifying x = 4 + -0.3333333333y
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