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Simplifying 8x + -1 = 7(x + 8) + -7 Reorder the terms: -1 + 8x = 7(x + 8) + -7 Reorder the terms: -1 + 8x = 7(8 + x) + -7 -1 + 8x = (8 * 7 + x * 7) + -7 -1 + 8x = (56 + 7x) + -7 Reorder the terms: -1 + 8x = 56 + -7 + 7x Combine like terms: 56 + -7 = 49 -1 + 8x = 49 + 7x Solving -1 + 8x = 49 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1 + 8x + -7x = 49 + 7x + -7x Combine like terms: 8x + -7x = 1x -1 + 1x = 49 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + 1x = 49 + 0 -1 + 1x = 49 Add '1' to each side of the equation. -1 + 1 + 1x = 49 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 49 + 1 1x = 49 + 1 Combine like terms: 49 + 1 = 50 1x = 50 Divide each side by '1'. x = 50 Simplifying x = 50
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