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Simplifying 47 + -1(8x + -17) = 38x + -1[5 + -7x + -1(25 + -4x)] Reorder the terms: 47 + -1(-17 + 8x) = 38x + -1[5 + -7x + -1(25 + -4x)] 47 + (-17 * -1 + 8x * -1) = 38x + -1[5 + -7x + -1(25 + -4x)] 47 + (17 + -8x) = 38x + -1[5 + -7x + -1(25 + -4x)] Combine like terms: 47 + 17 = 64 64 + -8x = 38x + -1[5 + -7x + -1(25 + -4x)] 64 + -8x = 38x + -1[5 + -7x + (25 * -1 + -4x * -1)] 64 + -8x = 38x + -1[5 + -7x + (-25 + 4x)] Reorder the terms: 64 + -8x = 38x + -1[5 + -25 + -7x + 4x] Combine like terms: 5 + -25 = -20 64 + -8x = 38x + -1[-20 + -7x + 4x] Combine like terms: -7x + 4x = -3x 64 + -8x = 38x + -1[-20 + -3x] 64 + -8x = 38x + [-20 * -1 + -3x * -1] 64 + -8x = 38x + [20 + 3x] Reorder the terms: 64 + -8x = 20 + 38x + 3x Combine like terms: 38x + 3x = 41x 64 + -8x = 20 + 41x Solving 64 + -8x = 20 + 41x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41x' to each side of the equation. 64 + -8x + -41x = 20 + 41x + -41x Combine like terms: -8x + -41x = -49x 64 + -49x = 20 + 41x + -41x Combine like terms: 41x + -41x = 0 64 + -49x = 20 + 0 64 + -49x = 20 Add '-64' to each side of the equation. 64 + -64 + -49x = 20 + -64 Combine like terms: 64 + -64 = 0 0 + -49x = 20 + -64 -49x = 20 + -64 Combine like terms: 20 + -64 = -44 -49x = -44 Divide each side by '-49'. x = 0.8979591837 Simplifying x = 0.8979591837
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