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Simplifying 3(2x + 6) + 5 = 5x + 3 Reorder the terms: 3(6 + 2x) + 5 = 5x + 3 (6 * 3 + 2x * 3) + 5 = 5x + 3 (18 + 6x) + 5 = 5x + 3 Reorder the terms: 18 + 5 + 6x = 5x + 3 Combine like terms: 18 + 5 = 23 23 + 6x = 5x + 3 Reorder the terms: 23 + 6x = 3 + 5x Solving 23 + 6x = 3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 23 + 6x + -5x = 3 + 5x + -5x Combine like terms: 6x + -5x = 1x 23 + 1x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 23 + 1x = 3 + 0 23 + 1x = 3 Add '-23' to each side of the equation. 23 + -23 + 1x = 3 + -23 Combine like terms: 23 + -23 = 0 0 + 1x = 3 + -23 1x = 3 + -23 Combine like terms: 3 + -23 = -20 1x = -20 Divide each side by '1'. x = -20 Simplifying x = -20
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