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Simplifying (12)(2x + 5) = (14)(2x + 2) Reorder the terms: 12(5 + 2x) = (14)(2x + 2) (5 * 12 + 2x * 12) = (14)(2x + 2) (60 + 24x) = (14)(2x + 2) Reorder the terms: 60 + 24x = 14(2 + 2x) 60 + 24x = (2 * 14 + 2x * 14) 60 + 24x = (28 + 28x) Solving 60 + 24x = 28 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 60 + 24x + -28x = 28 + 28x + -28x Combine like terms: 24x + -28x = -4x 60 + -4x = 28 + 28x + -28x Combine like terms: 28x + -28x = 0 60 + -4x = 28 + 0 60 + -4x = 28 Add '-60' to each side of the equation. 60 + -60 + -4x = 28 + -60 Combine like terms: 60 + -60 = 0 0 + -4x = 28 + -60 -4x = 28 + -60 Combine like terms: 28 + -60 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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