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Simplifying 2(3x + 7) = 5x + 10 Reorder the terms: 2(7 + 3x) = 5x + 10 (7 * 2 + 3x * 2) = 5x + 10 (14 + 6x) = 5x + 10 Reorder the terms: 14 + 6x = 10 + 5x Solving 14 + 6x = 10 + 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. 14 + 6x + -5x = 10 + 5x + -5x Combine like terms: 6x + -5x = 1x 14 + 1x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + 1x = 10 + 0 14 + 1x = 10 Add '-14' to each side of the equation. 14 + -14 + 1x = 10 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 10 + -14 1x = 10 + -14 Combine like terms: 10 + -14 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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