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Simplifying -5(7x + 8) = 7(2 + -6x) + -5 Reorder the terms: -5(8 + 7x) = 7(2 + -6x) + -5 (8 * -5 + 7x * -5) = 7(2 + -6x) + -5 (-40 + -35x) = 7(2 + -6x) + -5 -40 + -35x = (2 * 7 + -6x * 7) + -5 -40 + -35x = (14 + -42x) + -5 Reorder the terms: -40 + -35x = 14 + -5 + -42x Combine like terms: 14 + -5 = 9 -40 + -35x = 9 + -42x Solving -40 + -35x = 9 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. -40 + -35x + 42x = 9 + -42x + 42x Combine like terms: -35x + 42x = 7x -40 + 7x = 9 + -42x + 42x Combine like terms: -42x + 42x = 0 -40 + 7x = 9 + 0 -40 + 7x = 9 Add '40' to each side of the equation. -40 + 40 + 7x = 9 + 40 Combine like terms: -40 + 40 = 0 0 + 7x = 9 + 40 7x = 9 + 40 Combine like terms: 9 + 40 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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