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Simplifying 4x + 27 = 5(5x + -3) Reorder the terms: 27 + 4x = 5(5x + -3) Reorder the terms: 27 + 4x = 5(-3 + 5x) 27 + 4x = (-3 * 5 + 5x * 5) 27 + 4x = (-15 + 25x) Solving 27 + 4x = -15 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 27 + 4x + -25x = -15 + 25x + -25x Combine like terms: 4x + -25x = -21x 27 + -21x = -15 + 25x + -25x Combine like terms: 25x + -25x = 0 27 + -21x = -15 + 0 27 + -21x = -15 Add '-27' to each side of the equation. 27 + -27 + -21x = -15 + -27 Combine like terms: 27 + -27 = 0 0 + -21x = -15 + -27 -21x = -15 + -27 Combine like terms: -15 + -27 = -42 -21x = -42 Divide each side by '-21'. x = 2 Simplifying x = 2
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