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Simplifying 538 = 2(4x + -1) + 2(7x + 6) Reorder the terms: 538 = 2(-1 + 4x) + 2(7x + 6) 538 = (-1 * 2 + 4x * 2) + 2(7x + 6) 538 = (-2 + 8x) + 2(7x + 6) Reorder the terms: 538 = -2 + 8x + 2(6 + 7x) 538 = -2 + 8x + (6 * 2 + 7x * 2) 538 = -2 + 8x + (12 + 14x) Reorder the terms: 538 = -2 + 12 + 8x + 14x Combine like terms: -2 + 12 = 10 538 = 10 + 8x + 14x Combine like terms: 8x + 14x = 22x 538 = 10 + 22x Solving 538 = 10 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 538 + -22x = 10 + 22x + -22x Combine like terms: 22x + -22x = 0 538 + -22x = 10 + 0 538 + -22x = 10 Add '-538' to each side of the equation. 538 + -538 + -22x = 10 + -538 Combine like terms: 538 + -538 = 0 0 + -22x = 10 + -538 -22x = 10 + -538 Combine like terms: 10 + -538 = -528 -22x = -528 Divide each side by '-22'. x = 24 Simplifying x = 24
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