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Simplifying 7(x + -1) + 8 = 5(7x) + 2 Reorder the terms: 7(-1 + x) + 8 = 5(7x) + 2 (-1 * 7 + x * 7) + 8 = 5(7x) + 2 (-7 + 7x) + 8 = 5(7x) + 2 Reorder the terms: -7 + 8 + 7x = 5(7x) + 2 Combine like terms: -7 + 8 = 1 1 + 7x = 5(7x) + 2 Remove parenthesis around (7x) 1 + 7x = 5 * 7x + 2 Multiply 5 * 7 1 + 7x = 35x + 2 Reorder the terms: 1 + 7x = 2 + 35x Solving 1 + 7x = 2 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 1 + 7x + -35x = 2 + 35x + -35x Combine like terms: 7x + -35x = -28x 1 + -28x = 2 + 35x + -35x Combine like terms: 35x + -35x = 0 1 + -28x = 2 + 0 1 + -28x = 2 Add '-1' to each side of the equation. 1 + -1 + -28x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -28x = 2 + -1 -28x = 2 + -1 Combine like terms: 2 + -1 = 1 -28x = 1 Divide each side by '-28'. x = -0.03571428571 Simplifying x = -0.03571428571
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