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Simplifying 7(x + 8) = (4x + 7) + -11 Reorder the terms: 7(8 + x) = (4x + 7) + -11 (8 * 7 + x * 7) = (4x + 7) + -11 (56 + 7x) = (4x + 7) + -11 Reorder the terms: 56 + 7x = (7 + 4x) + -11 Remove parenthesis around (7 + 4x) 56 + 7x = 7 + 4x + -11 Reorder the terms: 56 + 7x = 7 + -11 + 4x Combine like terms: 7 + -11 = -4 56 + 7x = -4 + 4x Solving 56 + 7x = -4 + 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 = -4 + 4x + -4x Combine like terms: 7x + -4x = 3x 56 + 3x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 56 + 3x = -4 + 0 56 + 3x = -4 Add '-56' to each side of the equation. 56 + -56 + 3x = -4 + -56 Combine like terms: 56 + -56 = 0 0 + 3x = -4 + -56 3x = -4 + -56 Combine like terms: -4 + -56 = -60 3x = -60 Divide each side by '3'. x = -20 Simplifying x = -20
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