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Simplifying 7(x + 8) = 4(x + 7) + -1 Reorder the terms: 7(8 + x) = 4(x + 7) + -1 (8 * 7 + x * 7) = 4(x + 7) + -1 (56 + 7x) = 4(x + 7) + -1 Reorder the terms: 56 + 7x = 4(7 + x) + -1 56 + 7x = (7 * 4 + x * 4) + -1 56 + 7x = (28 + 4x) + -1 Reorder the terms: 56 + 7x = 28 + -1 + 4x Combine like terms: 28 + -1 = 27 56 + 7x = 27 + 4x Solving 56 + 7x = 27 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 56 + 7x + -4x = 27 + 4x + -4x Combine like terms: 7x + -4x = 3x 56 + 3x = 27 + 4x + -4x Combine like terms: 4x + -4x = 0 56 + 3x = 27 + 0 56 + 3x = 27 Add '-56' to each side of the equation. 56 + -56 + 3x = 27 + -56 Combine like terms: 56 + -56 = 0 0 + 3x = 27 + -56 3x = 27 + -56 Combine like terms: 27 + -56 = -29 3x = -29 Divide each side by '3'. x = -9.666666667 Simplifying x = -9.666666667
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