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Simplifying 6(5x + 6) = 5(3x + -6) Reorder the terms: 6(6 + 5x) = 5(3x + -6) (6 * 6 + 5x * 6) = 5(3x + -6) (36 + 30x) = 5(3x + -6) Reorder the terms: 36 + 30x = 5(-6 + 3x) 36 + 30x = (-6 * 5 + 3x * 5) 36 + 30x = (-30 + 15x) Solving 36 + 30x = -30 + 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. 36 + 30x + -15x = -30 + 15x + -15x Combine like terms: 30x + -15x = 15x 36 + 15x = -30 + 15x + -15x Combine like terms: 15x + -15x = 0 36 + 15x = -30 + 0 36 + 15x = -30 Add '-36' to each side of the equation. 36 + -36 + 15x = -30 + -36 Combine like terms: 36 + -36 = 0 0 + 15x = -30 + -36 15x = -30 + -36 Combine like terms: -30 + -36 = -66 15x = -66 Divide each side by '15'. x = -4.4 Simplifying x = -4.4
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