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Simplifying 4x + 43 = 5(5x + -2) + -10 Reorder the terms: 43 + 4x = 5(5x + -2) + -10 Reorder the terms: 43 + 4x = 5(-2 + 5x) + -10 43 + 4x = (-2 * 5 + 5x * 5) + -10 43 + 4x = (-10 + 25x) + -10 Reorder the terms: 43 + 4x = -10 + -10 + 25x Combine like terms: -10 + -10 = -20 43 + 4x = -20 + 25x Solving 43 + 4x = -20 + 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. 43 + 4x + -25x = -20 + 25x + -25x Combine like terms: 4x + -25x = -21x 43 + -21x = -20 + 25x + -25x Combine like terms: 25x + -25x = 0 43 + -21x = -20 + 0 43 + -21x = -20 Add '-43' to each side of the equation. 43 + -43 + -21x = -20 + -43 Combine like terms: 43 + -43 = 0 0 + -21x = -20 + -43 -21x = -20 + -43 Combine like terms: -20 + -43 = -63 -21x = -63 Divide each side by '-21'. x = 3 Simplifying x = 3
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