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Simplifying 9 + -2(4x + -3) = -1(5 + -7x) Reorder the terms: 9 + -2(-3 + 4x) = -1(5 + -7x) 9 + (-3 * -2 + 4x * -2) = -1(5 + -7x) 9 + (6 + -8x) = -1(5 + -7x) Combine like terms: 9 + 6 = 15 15 + -8x = -1(5 + -7x) 15 + -8x = (5 * -1 + -7x * -1) 15 + -8x = (-5 + 7x) Solving 15 + -8x = -5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 15 + -8x + -7x = -5 + 7x + -7x Combine like terms: -8x + -7x = -15x 15 + -15x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + -15x = -5 + 0 15 + -15x = -5 Add '-15' to each side of the equation. 15 + -15 + -15x = -5 + -15 Combine like terms: 15 + -15 = 0 0 + -15x = -5 + -15 -15x = -5 + -15 Combine like terms: -5 + -15 = -20 -15x = -20 Divide each side by '-15'. x = 1.333333333 Simplifying x = 1.333333333
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