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Simplifying 30 + 5x = 5(1 + 6x) 30 + 5x = (1 * 5 + 6x * 5) 30 + 5x = (5 + 30x) Solving 30 + 5x = 5 + 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. 30 + 5x + -30x = 5 + 30x + -30x Combine like terms: 5x + -30x = -25x 30 + -25x = 5 + 30x + -30x Combine like terms: 30x + -30x = 0 30 + -25x = 5 + 0 30 + -25x = 5 Add '-30' to each side of the equation. 30 + -30 + -25x = 5 + -30 Combine like terms: 30 + -30 = 0 0 + -25x = 5 + -30 -25x = 5 + -30 Combine like terms: 5 + -30 = -25 -25x = -25 Divide each side by '-25'. x = 1 Simplifying x = 1
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