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Simplifying (3 + 7)(5 + 3x) = 55 + -75(x + 4) Combine like terms: 3 + 7 = 10 (10)(5 + 3x) = 55 + -75(x + 4) (5 * 10 + 3x * 10) = 55 + -75(x + 4) (50 + 30x) = 55 + -75(x + 4) Reorder the terms: 50 + 30x = 55 + -75(4 + x) 50 + 30x = 55 + (4 * -75 + x * -75) 50 + 30x = 55 + (-300 + -75x) Combine like terms: 55 + -300 = -245 50 + 30x = -245 + -75x Solving 50 + 30x = -245 + -75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '75x' to each side of the equation. 50 + 30x + 75x = -245 + -75x + 75x Combine like terms: 30x + 75x = 105x 50 + 105x = -245 + -75x + 75x Combine like terms: -75x + 75x = 0 50 + 105x = -245 + 0 50 + 105x = -245 Add '-50' to each side of the equation. 50 + -50 + 105x = -245 + -50 Combine like terms: 50 + -50 = 0 0 + 105x = -245 + -50 105x = -245 + -50 Combine like terms: -245 + -50 = -295 105x = -295 Divide each side by '105'. x = -2.80952381 Simplifying x = -2.80952381
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