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Simplifying 6(5x + 5) = 5(3x + -1) Reorder the terms: 6(5 + 5x) = 5(3x + -1) (5 * 6 + 5x * 6) = 5(3x + -1) (30 + 30x) = 5(3x + -1) Reorder the terms: 30 + 30x = 5(-1 + 3x) 30 + 30x = (-1 * 5 + 3x * 5) 30 + 30x = (-5 + 15x) Solving 30 + 30x = -5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 30 + 30x + -15x = -5 + 15x + -15x Combine like terms: 30x + -15x = 15x 30 + 15x = -5 + 15x + -15x Combine like terms: 15x + -15x = 0 30 + 15x = -5 + 0 30 + 15x = -5 Add '-30' to each side of the equation. 30 + -30 + 15x = -5 + -30 Combine like terms: 30 + -30 = 0 0 + 15x = -5 + -30 15x = -5 + -30 Combine like terms: -5 + -30 = -35 15x = -35 Divide each side by '15'. x = -2.333333333 Simplifying x = -2.333333333
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