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Simplifying 3(2x + -6) = 5(7x + 1) Reorder the terms: 3(-6 + 2x) = 5(7x + 1) (-6 * 3 + 2x * 3) = 5(7x + 1) (-18 + 6x) = 5(7x + 1) Reorder the terms: -18 + 6x = 5(1 + 7x) -18 + 6x = (1 * 5 + 7x * 5) -18 + 6x = (5 + 35x) Solving -18 + 6x = 5 + 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. -18 + 6x + -35x = 5 + 35x + -35x Combine like terms: 6x + -35x = -29x -18 + -29x = 5 + 35x + -35x Combine like terms: 35x + -35x = 0 -18 + -29x = 5 + 0 -18 + -29x = 5 Add '18' to each side of the equation. -18 + 18 + -29x = 5 + 18 Combine like terms: -18 + 18 = 0 0 + -29x = 5 + 18 -29x = 5 + 18 Combine like terms: 5 + 18 = 23 -29x = 23 Divide each side by '-29'. x = -0.7931034483 Simplifying x = -0.7931034483
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