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Simplifying 6(2x + 1) = 5(3x + -15) Reorder the terms: 6(1 + 2x) = 5(3x + -15) (1 * 6 + 2x * 6) = 5(3x + -15) (6 + 12x) = 5(3x + -15) Reorder the terms: 6 + 12x = 5(-15 + 3x) 6 + 12x = (-15 * 5 + 3x * 5) 6 + 12x = (-75 + 15x) Solving 6 + 12x = -75 + 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. 6 + 12x + -15x = -75 + 15x + -15x Combine like terms: 12x + -15x = -3x 6 + -3x = -75 + 15x + -15x Combine like terms: 15x + -15x = 0 6 + -3x = -75 + 0 6 + -3x = -75 Add '-6' to each side of the equation. 6 + -6 + -3x = -75 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -75 + -6 -3x = -75 + -6 Combine like terms: -75 + -6 = -81 -3x = -81 Divide each side by '-3'. x = 27 Simplifying x = 27
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