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Simplifying 12(3x + -3) + -5(2x + -2) = 16x + -14 Reorder the terms: 12(-3 + 3x) + -5(2x + -2) = 16x + -14 (-3 * 12 + 3x * 12) + -5(2x + -2) = 16x + -14 (-36 + 36x) + -5(2x + -2) = 16x + -14 Reorder the terms: -36 + 36x + -5(-2 + 2x) = 16x + -14 -36 + 36x + (-2 * -5 + 2x * -5) = 16x + -14 -36 + 36x + (10 + -10x) = 16x + -14 Reorder the terms: -36 + 10 + 36x + -10x = 16x + -14 Combine like terms: -36 + 10 = -26 -26 + 36x + -10x = 16x + -14 Combine like terms: 36x + -10x = 26x -26 + 26x = 16x + -14 Reorder the terms: -26 + 26x = -14 + 16x Solving -26 + 26x = -14 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -26 + 26x + -16x = -14 + 16x + -16x Combine like terms: 26x + -16x = 10x -26 + 10x = -14 + 16x + -16x Combine like terms: 16x + -16x = 0 -26 + 10x = -14 + 0 -26 + 10x = -14 Add '26' to each side of the equation. -26 + 26 + 10x = -14 + 26 Combine like terms: -26 + 26 = 0 0 + 10x = -14 + 26 10x = -14 + 26 Combine like terms: -14 + 26 = 12 10x = 12 Divide each side by '10'. x = 1.2 Simplifying x = 1.2
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