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Simplifying 8x + -1 = 7(x + 5) + 2 Reorder the terms: -1 + 8x = 7(x + 5) + 2 Reorder the terms: -1 + 8x = 7(5 + x) + 2 -1 + 8x = (5 * 7 + x * 7) + 2 -1 + 8x = (35 + 7x) + 2 Reorder the terms: -1 + 8x = 35 + 2 + 7x Combine like terms: 35 + 2 = 37 -1 + 8x = 37 + 7x Solving -1 + 8x = 37 + 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 = 37 + 7x + -7x Combine like terms: 8x + -7x = 1x -1 + 1x = 37 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + 1x = 37 + 0 -1 + 1x = 37 Add '1' to each side of the equation. -1 + 1 + 1x = 37 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 37 + 1 1x = 37 + 1 Combine like terms: 37 + 1 = 38 1x = 38 Divide each side by '1'. x = 38 Simplifying x = 38
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