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Simplifying -5(3x + -2) = 12(-3x + 2) Reorder the terms: -5(-2 + 3x) = 12(-3x + 2) (-2 * -5 + 3x * -5) = 12(-3x + 2) (10 + -15x) = 12(-3x + 2) Reorder the terms: 10 + -15x = 12(2 + -3x) 10 + -15x = (2 * 12 + -3x * 12) 10 + -15x = (24 + -36x) Solving 10 + -15x = 24 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 10 + -15x + 36x = 24 + -36x + 36x Combine like terms: -15x + 36x = 21x 10 + 21x = 24 + -36x + 36x Combine like terms: -36x + 36x = 0 10 + 21x = 24 + 0 10 + 21x = 24 Add '-10' to each side of the equation. 10 + -10 + 21x = 24 + -10 Combine like terms: 10 + -10 = 0 0 + 21x = 24 + -10 21x = 24 + -10 Combine like terms: 24 + -10 = 14 21x = 14 Divide each side by '21'. x = 0.6666666667 Simplifying x = 0.6666666667
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