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