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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 = 35x 30 + 35x = -5 + -30x + 30x Combine like terms: -30x + 30x = 0 30 + 35x = -5 + 0 30 + 35x = -5 Add '-30' to each side of the equation. 30 + -30 + 35x = -5 + -30 Combine like terms: 30 + -30 = 0 0 + 35x = -5 + -30 35x = -5 + -30 Combine like terms: -5 + -30 = -35 35x = -35 Divide each side by '35'. x = -1 Simplifying x = -1
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