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Simplifying 5(2x + 1) = 4x + 12 Reorder the terms: 5(1 + 2x) = 4x + 12 (1 * 5 + 2x * 5) = 4x + 12 (5 + 10x) = 4x + 12 Reorder the terms: 5 + 10x = 12 + 4x Solving 5 + 10x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 10x + -4x = 12 + 4x + -4x Combine like terms: 10x + -4x = 6x 5 + 6x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + 6x = 12 + 0 5 + 6x = 12 Add '-5' to each side of the equation. 5 + -5 + 6x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 12 + -5 6x = 12 + -5 Combine like terms: 12 + -5 = 7 6x = 7 Divide each side by '6'. x = 1.166666667 Simplifying x = 1.166666667
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