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Simplifying 7(11 + -2x) = 15(1 + -3x) (11 * 7 + -2x * 7) = 15(1 + -3x) (77 + -14x) = 15(1 + -3x) 77 + -14x = (1 * 15 + -3x * 15) 77 + -14x = (15 + -45x) Solving 77 + -14x = 15 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. 77 + -14x + 45x = 15 + -45x + 45x Combine like terms: -14x + 45x = 31x 77 + 31x = 15 + -45x + 45x Combine like terms: -45x + 45x = 0 77 + 31x = 15 + 0 77 + 31x = 15 Add '-77' to each side of the equation. 77 + -77 + 31x = 15 + -77 Combine like terms: 77 + -77 = 0 0 + 31x = 15 + -77 31x = 15 + -77 Combine like terms: 15 + -77 = -62 31x = -62 Divide each side by '31'. x = -2 Simplifying x = -2
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