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Simplifying 6(x + -3y) = 35x + 45 (x * 6 + -3y * 6) = 35x + 45 (6x + -18y) = 35x + 45 Reorder the terms: 6x + -18y = 45 + 35x Solving 6x + -18y = 45 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 6x + -35x + -18y = 45 + 35x + -35x Combine like terms: 6x + -35x = -29x -29x + -18y = 45 + 35x + -35x Combine like terms: 35x + -35x = 0 -29x + -18y = 45 + 0 -29x + -18y = 45 Add '18y' to each side of the equation. -29x + -18y + 18y = 45 + 18y Combine like terms: -18y + 18y = 0 -29x + 0 = 45 + 18y -29x = 45 + 18y Divide each side by '-29'. x = -1.551724138 + -0.6206896552y Simplifying x = -1.551724138 + -0.6206896552y
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