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Simplifying 7(3x + -2) = 5(2x + 3) Reorder the terms: 7(-2 + 3x) = 5(2x + 3) (-2 * 7 + 3x * 7) = 5(2x + 3) (-14 + 21x) = 5(2x + 3) Reorder the terms: -14 + 21x = 5(3 + 2x) -14 + 21x = (3 * 5 + 2x * 5) -14 + 21x = (15 + 10x) Solving -14 + 21x = 15 + 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. -14 + 21x + -10x = 15 + 10x + -10x Combine like terms: 21x + -10x = 11x -14 + 11x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 -14 + 11x = 15 + 0 -14 + 11x = 15 Add '14' to each side of the equation. -14 + 14 + 11x = 15 + 14 Combine like terms: -14 + 14 = 0 0 + 11x = 15 + 14 11x = 15 + 14 Combine like terms: 15 + 14 = 29 11x = 29 Divide each side by '11'. x = 2.636363636 Simplifying x = 2.636363636
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