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Simplifying 4(5x + 7) = 10x + 2 Reorder the terms: 4(7 + 5x) = 10x + 2 (7 * 4 + 5x * 4) = 10x + 2 (28 + 20x) = 10x + 2 Reorder the terms: 28 + 20x = 2 + 10x Solving 28 + 20x = 2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 28 + 20x + -10x = 2 + 10x + -10x Combine like terms: 20x + -10x = 10x 28 + 10x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 28 + 10x = 2 + 0 28 + 10x = 2 Add '-28' to each side of the equation. 28 + -28 + 10x = 2 + -28 Combine like terms: 28 + -28 = 0 0 + 10x = 2 + -28 10x = 2 + -28 Combine like terms: 2 + -28 = -26 10x = -26 Divide each side by '10'. x = -2.6 Simplifying x = -2.6
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