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Simplifying 3(7x + -6) = 5(2 + 5x) Reorder the terms: 3(-6 + 7x) = 5(2 + 5x) (-6 * 3 + 7x * 3) = 5(2 + 5x) (-18 + 21x) = 5(2 + 5x) -18 + 21x = (2 * 5 + 5x * 5) -18 + 21x = (10 + 25x) Solving -18 + 21x = 10 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -18 + 21x + -25x = 10 + 25x + -25x Combine like terms: 21x + -25x = -4x -18 + -4x = 10 + 25x + -25x Combine like terms: 25x + -25x = 0 -18 + -4x = 10 + 0 -18 + -4x = 10 Add '18' to each side of the equation. -18 + 18 + -4x = 10 + 18 Combine like terms: -18 + 18 = 0 0 + -4x = 10 + 18 -4x = 10 + 18 Combine like terms: 10 + 18 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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