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Simplifying 7(x + -1) + 5 = 6 + -8x + 7 Reorder the terms: 7(-1 + x) + 5 = 6 + -8x + 7 (-1 * 7 + x * 7) + 5 = 6 + -8x + 7 (-7 + 7x) + 5 = 6 + -8x + 7 Reorder the terms: -7 + 5 + 7x = 6 + -8x + 7 Combine like terms: -7 + 5 = -2 -2 + 7x = 6 + -8x + 7 Reorder the terms: -2 + 7x = 6 + 7 + -8x Combine like terms: 6 + 7 = 13 -2 + 7x = 13 + -8x Solving -2 + 7x = 13 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -2 + 7x + 8x = 13 + -8x + 8x Combine like terms: 7x + 8x = 15x -2 + 15x = 13 + -8x + 8x Combine like terms: -8x + 8x = 0 -2 + 15x = 13 + 0 -2 + 15x = 13 Add '2' to each side of the equation. -2 + 2 + 15x = 13 + 2 Combine like terms: -2 + 2 = 0 0 + 15x = 13 + 2 15x = 13 + 2 Combine like terms: 13 + 2 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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