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Simplifying 2(5x + 7) = 30x + 3 + 10 Reorder the terms: 2(7 + 5x) = 30x + 3 + 10 (7 * 2 + 5x * 2) = 30x + 3 + 10 (14 + 10x) = 30x + 3 + 10 Reorder the terms: 14 + 10x = 3 + 10 + 30x Combine like terms: 3 + 10 = 13 14 + 10x = 13 + 30x Solving 14 + 10x = 13 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 14 + 10x + -30x = 13 + 30x + -30x Combine like terms: 10x + -30x = -20x 14 + -20x = 13 + 30x + -30x Combine like terms: 30x + -30x = 0 14 + -20x = 13 + 0 14 + -20x = 13 Add '-14' to each side of the equation. 14 + -14 + -20x = 13 + -14 Combine like terms: 14 + -14 = 0 0 + -20x = 13 + -14 -20x = 13 + -14 Combine like terms: 13 + -14 = -1 -20x = -1 Divide each side by '-20'. x = 0.05 Simplifying x = 0.05
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