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Simplifying 2(7x + 5) = 3(3x + -2) Reorder the terms: 2(5 + 7x) = 3(3x + -2) (5 * 2 + 7x * 2) = 3(3x + -2) (10 + 14x) = 3(3x + -2) Reorder the terms: 10 + 14x = 3(-2 + 3x) 10 + 14x = (-2 * 3 + 3x * 3) 10 + 14x = (-6 + 9x) Solving 10 + 14x = -6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 10 + 14x + -9x = -6 + 9x + -9x Combine like terms: 14x + -9x = 5x 10 + 5x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + 5x = -6 + 0 10 + 5x = -6 Add '-10' to each side of the equation. 10 + -10 + 5x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = -6 + -10 5x = -6 + -10 Combine like terms: -6 + -10 = -16 5x = -16 Divide each side by '5'. x = -3.2 Simplifying x = -3.2
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