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Simplifying 8(x + -1) = 7(x + 2) + 31 Reorder the terms: 8(-1 + x) = 7(x + 2) + 31 (-1 * 8 + x * 8) = 7(x + 2) + 31 (-8 + 8x) = 7(x + 2) + 31 Reorder the terms: -8 + 8x = 7(2 + x) + 31 -8 + 8x = (2 * 7 + x * 7) + 31 -8 + 8x = (14 + 7x) + 31 Reorder the terms: -8 + 8x = 14 + 31 + 7x Combine like terms: 14 + 31 = 45 -8 + 8x = 45 + 7x Solving -8 + 8x = 45 + 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. -8 + 8x + -7x = 45 + 7x + -7x Combine like terms: 8x + -7x = 1x -8 + 1x = 45 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + 1x = 45 + 0 -8 + 1x = 45 Add '8' to each side of the equation. -8 + 8 + 1x = 45 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 45 + 8 1x = 45 + 8 Combine like terms: 45 + 8 = 53 1x = 53 Divide each side by '1'. x = 53 Simplifying x = 53
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