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Simplifying 25(x + 2) = 5(3x + -4) Reorder the terms: 25(2 + x) = 5(3x + -4) (2 * 25 + x * 25) = 5(3x + -4) (50 + 25x) = 5(3x + -4) Reorder the terms: 50 + 25x = 5(-4 + 3x) 50 + 25x = (-4 * 5 + 3x * 5) 50 + 25x = (-20 + 15x) Solving 50 + 25x = -20 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 50 + 25x + -15x = -20 + 15x + -15x Combine like terms: 25x + -15x = 10x 50 + 10x = -20 + 15x + -15x Combine like terms: 15x + -15x = 0 50 + 10x = -20 + 0 50 + 10x = -20 Add '-50' to each side of the equation. 50 + -50 + 10x = -20 + -50 Combine like terms: 50 + -50 = 0 0 + 10x = -20 + -50 10x = -20 + -50 Combine like terms: -20 + -50 = -70 10x = -70 Divide each side by '10'. x = -7 Simplifying x = -7
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