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Simplifying -5(5x + 8) + 7(7x + -6) = 62 Reorder the terms: -5(8 + 5x) + 7(7x + -6) = 62 (8 * -5 + 5x * -5) + 7(7x + -6) = 62 (-40 + -25x) + 7(7x + -6) = 62 Reorder the terms: -40 + -25x + 7(-6 + 7x) = 62 -40 + -25x + (-6 * 7 + 7x * 7) = 62 -40 + -25x + (-42 + 49x) = 62 Reorder the terms: -40 + -42 + -25x + 49x = 62 Combine like terms: -40 + -42 = -82 -82 + -25x + 49x = 62 Combine like terms: -25x + 49x = 24x -82 + 24x = 62 Solving -82 + 24x = 62 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '82' to each side of the equation. -82 + 82 + 24x = 62 + 82 Combine like terms: -82 + 82 = 0 0 + 24x = 62 + 82 24x = 62 + 82 Combine like terms: 62 + 82 = 144 24x = 144 Divide each side by '24'. x = 6 Simplifying x = 6
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