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Simplifying 3x + 7 + 2(4x + -5) = 25 + -3x Reorder the terms: 3x + 7 + 2(-5 + 4x) = 25 + -3x 3x + 7 + (-5 * 2 + 4x * 2) = 25 + -3x 3x + 7 + (-10 + 8x) = 25 + -3x Reorder the terms: 7 + -10 + 3x + 8x = 25 + -3x Combine like terms: 7 + -10 = -3 -3 + 3x + 8x = 25 + -3x Combine like terms: 3x + 8x = 11x -3 + 11x = 25 + -3x Solving -3 + 11x = 25 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -3 + 11x + 3x = 25 + -3x + 3x Combine like terms: 11x + 3x = 14x -3 + 14x = 25 + -3x + 3x Combine like terms: -3x + 3x = 0 -3 + 14x = 25 + 0 -3 + 14x = 25 Add '3' to each side of the equation. -3 + 3 + 14x = 25 + 3 Combine like terms: -3 + 3 = 0 0 + 14x = 25 + 3 14x = 25 + 3 Combine like terms: 25 + 3 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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