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Simplifying 3x + 33 = 5(1 + -5x) Reorder the terms: 33 + 3x = 5(1 + -5x) 33 + 3x = (1 * 5 + -5x * 5) 33 + 3x = (5 + -25x) Solving 33 + 3x = 5 + -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. 33 + 3x + 25x = 5 + -25x + 25x Combine like terms: 3x + 25x = 28x 33 + 28x = 5 + -25x + 25x Combine like terms: -25x + 25x = 0 33 + 28x = 5 + 0 33 + 28x = 5 Add '-33' to each side of the equation. 33 + -33 + 28x = 5 + -33 Combine like terms: 33 + -33 = 0 0 + 28x = 5 + -33 28x = 5 + -33 Combine like terms: 5 + -33 = -28 28x = -28 Divide each side by '28'. x = -1 Simplifying x = -1
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