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Simplifying 7x + 5 = 2(3x + 12) Reorder the terms: 5 + 7x = 2(3x + 12) Reorder the terms: 5 + 7x = 2(12 + 3x) 5 + 7x = (12 * 2 + 3x * 2) 5 + 7x = (24 + 6x) Solving 5 + 7x = 24 + 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. 5 + 7x + -6x = 24 + 6x + -6x Combine like terms: 7x + -6x = 1x 5 + 1x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + 1x = 24 + 0 5 + 1x = 24 Add '-5' to each side of the equation. 5 + -5 + 1x = 24 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 24 + -5 1x = 24 + -5 Combine like terms: 24 + -5 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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