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Simplifying 5(2x + 10) + 2 = -5(7 + -5x) + 7x Reorder the terms: 5(10 + 2x) + 2 = -5(7 + -5x) + 7x (10 * 5 + 2x * 5) + 2 = -5(7 + -5x) + 7x (50 + 10x) + 2 = -5(7 + -5x) + 7x Reorder the terms: 50 + 2 + 10x = -5(7 + -5x) + 7x Combine like terms: 50 + 2 = 52 52 + 10x = -5(7 + -5x) + 7x 52 + 10x = (7 * -5 + -5x * -5) + 7x 52 + 10x = (-35 + 25x) + 7x Combine like terms: 25x + 7x = 32x 52 + 10x = -35 + 32x Solving 52 + 10x = -35 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 52 + 10x + -32x = -35 + 32x + -32x Combine like terms: 10x + -32x = -22x 52 + -22x = -35 + 32x + -32x Combine like terms: 32x + -32x = 0 52 + -22x = -35 + 0 52 + -22x = -35 Add '-52' to each side of the equation. 52 + -52 + -22x = -35 + -52 Combine like terms: 52 + -52 = 0 0 + -22x = -35 + -52 -22x = -35 + -52 Combine like terms: -35 + -52 = -87 -22x = -87 Divide each side by '-22'. x = 3.954545455 Simplifying x = 3.954545455
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