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Simplifying 7[x + 1] = 8[x + -2] Reorder the terms: 7[1 + x] = 8[x + -2] [1 * 7 + x * 7] = 8[x + -2] [7 + 7x] = 8[x + -2] Reorder the terms: 7 + 7x = 8[-2 + x] 7 + 7x = [-2 * 8 + x * 8] 7 + 7x = [-16 + 8x] Solving 7 + 7x = -16 + 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. 7 + 7x + -8x = -16 + 8x + -8x Combine like terms: 7x + -8x = -1x 7 + -1x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + -1x = -16 + 0 7 + -1x = -16 Add '-7' to each side of the equation. 7 + -7 + -1x = -16 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -16 + -7 -1x = -16 + -7 Combine like terms: -16 + -7 = -23 -1x = -23 Divide each side by '-1'. x = 23 Simplifying x = 23
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