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Simplifying -5(-3x + 6) = -3(4x + -2) Reorder the terms: -5(6 + -3x) = -3(4x + -2) (6 * -5 + -3x * -5) = -3(4x + -2) (-30 + 15x) = -3(4x + -2) Reorder the terms: -30 + 15x = -3(-2 + 4x) -30 + 15x = (-2 * -3 + 4x * -3) -30 + 15x = (6 + -12x) Solving -30 + 15x = 6 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -30 + 15x + 12x = 6 + -12x + 12x Combine like terms: 15x + 12x = 27x -30 + 27x = 6 + -12x + 12x Combine like terms: -12x + 12x = 0 -30 + 27x = 6 + 0 -30 + 27x = 6 Add '30' to each side of the equation. -30 + 30 + 27x = 6 + 30 Combine like terms: -30 + 30 = 0 0 + 27x = 6 + 30 27x = 6 + 30 Combine like terms: 6 + 30 = 36 27x = 36 Divide each side by '27'. x = 1.333333333 Simplifying x = 1.333333333
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