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Simplifying 6(5x + 7) = 7(4x + -11) Reorder the terms: 6(7 + 5x) = 7(4x + -11) (7 * 6 + 5x * 6) = 7(4x + -11) (42 + 30x) = 7(4x + -11) Reorder the terms: 42 + 30x = 7(-11 + 4x) 42 + 30x = (-11 * 7 + 4x * 7) 42 + 30x = (-77 + 28x) Solving 42 + 30x = -77 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 42 + 30x + -28x = -77 + 28x + -28x Combine like terms: 30x + -28x = 2x 42 + 2x = -77 + 28x + -28x Combine like terms: 28x + -28x = 0 42 + 2x = -77 + 0 42 + 2x = -77 Add '-42' to each side of the equation. 42 + -42 + 2x = -77 + -42 Combine like terms: 42 + -42 = 0 0 + 2x = -77 + -42 2x = -77 + -42 Combine like terms: -77 + -42 = -119 2x = -119 Divide each side by '2'. x = -59.5 Simplifying x = -59.5
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