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Simplifying 2(5x + 17) = 2x + 28x + -10 Reorder the terms: 2(17 + 5x) = 2x + 28x + -10 (17 * 2 + 5x * 2) = 2x + 28x + -10 (34 + 10x) = 2x + 28x + -10 Reorder the terms: 34 + 10x = -10 + 2x + 28x Combine like terms: 2x + 28x = 30x 34 + 10x = -10 + 30x Solving 34 + 10x = -10 + 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. 34 + 10x + -30x = -10 + 30x + -30x Combine like terms: 10x + -30x = -20x 34 + -20x = -10 + 30x + -30x Combine like terms: 30x + -30x = 0 34 + -20x = -10 + 0 34 + -20x = -10 Add '-34' to each side of the equation. 34 + -34 + -20x = -10 + -34 Combine like terms: 34 + -34 = 0 0 + -20x = -10 + -34 -20x = -10 + -34 Combine like terms: -10 + -34 = -44 -20x = -44 Divide each side by '-20'. x = 2.2 Simplifying x = 2.2
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