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