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Simplifying 12(3x + -3) + -5(2x + -2) = 6x + -34 Reorder the terms: 12(-3 + 3x) + -5(2x + -2) = 6x + -34 (-3 * 12 + 3x * 12) + -5(2x + -2) = 6x + -34 (-36 + 36x) + -5(2x + -2) = 6x + -34 Reorder the terms: -36 + 36x + -5(-2 + 2x) = 6x + -34 -36 + 36x + (-2 * -5 + 2x * -5) = 6x + -34 -36 + 36x + (10 + -10x) = 6x + -34 Reorder the terms: -36 + 10 + 36x + -10x = 6x + -34 Combine like terms: -36 + 10 = -26 -26 + 36x + -10x = 6x + -34 Combine like terms: 36x + -10x = 26x -26 + 26x = 6x + -34 Reorder the terms: -26 + 26x = -34 + 6x Solving -26 + 26x = -34 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -26 + 26x + -6x = -34 + 6x + -6x Combine like terms: 26x + -6x = 20x -26 + 20x = -34 + 6x + -6x Combine like terms: 6x + -6x = 0 -26 + 20x = -34 + 0 -26 + 20x = -34 Add '26' to each side of the equation. -26 + 26 + 20x = -34 + 26 Combine like terms: -26 + 26 = 0 0 + 20x = -34 + 26 20x = -34 + 26 Combine like terms: -34 + 26 = -8 20x = -8 Divide each side by '20'. x = -0.4 Simplifying x = -0.4
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