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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 = 27x -6 + 27x = 75 + -15x + 15x Combine like terms: -15x + 15x = 0 -6 + 27x = 75 + 0 -6 + 27x = 75 Add '6' to each side of the equation. -6 + 6 + 27x = 75 + 6 Combine like terms: -6 + 6 = 0 0 + 27x = 75 + 6 27x = 75 + 6 Combine like terms: 75 + 6 = 81 27x = 81 Divide each side by '27'. x = 3 Simplifying x = 3
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