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Simplifying 5(x + 4) = 25x + 5(x + 7) Reorder the terms: 5(4 + x) = 25x + 5(x + 7) (4 * 5 + x * 5) = 25x + 5(x + 7) (20 + 5x) = 25x + 5(x + 7) Reorder the terms: 20 + 5x = 25x + 5(7 + x) 20 + 5x = 25x + (7 * 5 + x * 5) 20 + 5x = 25x + (35 + 5x) Reorder the terms: 20 + 5x = 35 + 25x + 5x Combine like terms: 25x + 5x = 30x 20 + 5x = 35 + 30x Solving 20 + 5x = 35 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 20 + 5x + -30x = 35 + 30x + -30x Combine like terms: 5x + -30x = -25x 20 + -25x = 35 + 30x + -30x Combine like terms: 30x + -30x = 0 20 + -25x = 35 + 0 20 + -25x = 35 Add '-20' to each side of the equation. 20 + -20 + -25x = 35 + -20 Combine like terms: 20 + -20 = 0 0 + -25x = 35 + -20 -25x = 35 + -20 Combine like terms: 35 + -20 = 15 -25x = 15 Divide each side by '-25'. x = -0.6 Simplifying x = -0.6
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