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Simplifying (5x)(-7) + (8) = (6x)(-7) + -1(7) Remove parenthesis around (5x) 5x(-7) + (8) = (6x)(-7) + -1(7) Reorder the terms for easier multiplication: 5 * -7x + (8) = (6x)(-7) + -1(7) Multiply 5 * -7 -35x + (8) = (6x)(-7) + -1(7) -35x + 8 = (6x)(-7) + -1(7) Reorder the terms: 8 + -35x = (6x)(-7) + -1(7) Remove parenthesis around (6x) 8 + -35x = 6x(-7) + -1(7) Reorder the terms for easier multiplication: 8 + -35x = 6 * -7x + -1(7) Multiply 6 * -7 8 + -35x = -42x + -1(7) Multiply -1 * 7 8 + -35x = -42x + -7 Reorder the terms: 8 + -35x = -7 + -42x Solving 8 + -35x = -7 + -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. 8 + -35x + 42x = -7 + -42x + 42x Combine like terms: -35x + 42x = 7x 8 + 7x = -7 + -42x + 42x Combine like terms: -42x + 42x = 0 8 + 7x = -7 + 0 8 + 7x = -7 Add '-8' to each side of the equation. 8 + -8 + 7x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = -7 + -8 7x = -7 + -8 Combine like terms: -7 + -8 = -15 7x = -15 Divide each side by '7'. x = -2.142857143 Simplifying x = -2.142857143
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