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Simplifying 14(2X + 3) = 6(2 + -1X) Reorder the terms: 14(3 + 2X) = 6(2 + -1X) (3 * 14 + 2X * 14) = 6(2 + -1X) (42 + 28X) = 6(2 + -1X) 42 + 28X = (2 * 6 + -1X * 6) 42 + 28X = (12 + -6X) Solving 42 + 28X = 12 + -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. 42 + 28X + 6X = 12 + -6X + 6X Combine like terms: 28X + 6X = 34X 42 + 34X = 12 + -6X + 6X Combine like terms: -6X + 6X = 0 42 + 34X = 12 + 0 42 + 34X = 12 Add '-42' to each side of the equation. 42 + -42 + 34X = 12 + -42 Combine like terms: 42 + -42 = 0 0 + 34X = 12 + -42 34X = 12 + -42 Combine like terms: 12 + -42 = -30 34X = -30 Divide each side by '34'. X = -0.8823529412 Simplifying X = -0.8823529412
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