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Simplifying 7(4x + 11) + -9 = 6(4x + 4) Reorder the terms: 7(11 + 4x) + -9 = 6(4x + 4) (11 * 7 + 4x * 7) + -9 = 6(4x + 4) (77 + 28x) + -9 = 6(4x + 4) Reorder the terms: 77 + -9 + 28x = 6(4x + 4) Combine like terms: 77 + -9 = 68 68 + 28x = 6(4x + 4) Reorder the terms: 68 + 28x = 6(4 + 4x) 68 + 28x = (4 * 6 + 4x * 6) 68 + 28x = (24 + 24x) Solving 68 + 28x = 24 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 68 + 28x + -24x = 24 + 24x + -24x Combine like terms: 28x + -24x = 4x 68 + 4x = 24 + 24x + -24x Combine like terms: 24x + -24x = 0 68 + 4x = 24 + 0 68 + 4x = 24 Add '-68' to each side of the equation. 68 + -68 + 4x = 24 + -68 Combine like terms: 68 + -68 = 0 0 + 4x = 24 + -68 4x = 24 + -68 Combine like terms: 24 + -68 = -44 4x = -44 Divide each side by '4'. x = -11 Simplifying x = -11
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