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Simplifying -5(5 + -2x) + 6 = 3(7x + 1) (5 * -5 + -2x * -5) + 6 = 3(7x + 1) (-25 + 10x) + 6 = 3(7x + 1) Reorder the terms: -25 + 6 + 10x = 3(7x + 1) Combine like terms: -25 + 6 = -19 -19 + 10x = 3(7x + 1) Reorder the terms: -19 + 10x = 3(1 + 7x) -19 + 10x = (1 * 3 + 7x * 3) -19 + 10x = (3 + 21x) Solving -19 + 10x = 3 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -19 + 10x + -21x = 3 + 21x + -21x Combine like terms: 10x + -21x = -11x -19 + -11x = 3 + 21x + -21x Combine like terms: 21x + -21x = 0 -19 + -11x = 3 + 0 -19 + -11x = 3 Add '19' to each side of the equation. -19 + 19 + -11x = 3 + 19 Combine like terms: -19 + 19 = 0 0 + -11x = 3 + 19 -11x = 3 + 19 Combine like terms: 3 + 19 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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