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Simplifying 3 + -4(2x + -5) = 4 + -1[2 + -1(3x + 5)] Reorder the terms: 3 + -4(-5 + 2x) = 4 + -1[2 + -1(3x + 5)] 3 + (-5 * -4 + 2x * -4) = 4 + -1[2 + -1(3x + 5)] 3 + (20 + -8x) = 4 + -1[2 + -1(3x + 5)] Combine like terms: 3 + 20 = 23 23 + -8x = 4 + -1[2 + -1(3x + 5)] Reorder the terms: 23 + -8x = 4 + -1[2 + -1(5 + 3x)] 23 + -8x = 4 + -1[2 + (5 * -1 + 3x * -1)] 23 + -8x = 4 + -1[2 + (-5 + -3x)] Combine like terms: 2 + -5 = -3 23 + -8x = 4 + -1[-3 + -3x] 23 + -8x = 4 + [-3 * -1 + -3x * -1] 23 + -8x = 4 + [3 + 3x] Combine like terms: 4 + 3 = 7 23 + -8x = 7 + 3x Solving 23 + -8x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 23 + -8x + -3x = 7 + 3x + -3x Combine like terms: -8x + -3x = -11x 23 + -11x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 23 + -11x = 7 + 0 23 + -11x = 7 Add '-23' to each side of the equation. 23 + -23 + -11x = 7 + -23 Combine like terms: 23 + -23 = 0 0 + -11x = 7 + -23 -11x = 7 + -23 Combine like terms: 7 + -23 = -16 -11x = -16 Divide each side by '-11'. x = 1.454545455 Simplifying x = 1.454545455
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