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Simplifying 3(6x + -1) + 2y = 45 Reorder the terms: 3(-1 + 6x) + 2y = 45 (-1 * 3 + 6x * 3) + 2y = 45 (-3 + 18x) + 2y = 45 Solving -3 + 18x + 2y = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 18x + 3 + 2y = 45 + 3 Reorder the terms: -3 + 3 + 18x + 2y = 45 + 3 Combine like terms: -3 + 3 = 0 0 + 18x + 2y = 45 + 3 18x + 2y = 45 + 3 Combine like terms: 45 + 3 = 48 18x + 2y = 48 Add '-2y' to each side of the equation. 18x + 2y + -2y = 48 + -2y Combine like terms: 2y + -2y = 0 18x + 0 = 48 + -2y 18x = 48 + -2y Divide each side by '18'. x = 2.666666667 + -0.1111111111y Simplifying x = 2.666666667 + -0.1111111111y
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