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Simplifying 7(6 + -8(x + -1) + 5(4x + 5) + -9) = 16x + -337 Reorder the terms: 7(6 + -8(-1 + x) + 5(4x + 5) + -9) = 16x + -337 7(6 + (-1 * -8 + x * -8) + 5(4x + 5) + -9) = 16x + -337 7(6 + (8 + -8x) + 5(4x + 5) + -9) = 16x + -337 Reorder the terms: 7(6 + 8 + -8x + 5(5 + 4x) + -9) = 16x + -337 7(6 + 8 + -8x + (5 * 5 + 4x * 5) + -9) = 16x + -337 7(6 + 8 + -8x + (25 + 20x) + -9) = 16x + -337 Reorder the terms: 7(6 + 8 + 25 + -9 + -8x + 20x) = 16x + -337 Combine like terms: 6 + 8 = 14 7(14 + 25 + -9 + -8x + 20x) = 16x + -337 Combine like terms: 14 + 25 = 39 7(39 + -9 + -8x + 20x) = 16x + -337 Combine like terms: 39 + -9 = 30 7(30 + -8x + 20x) = 16x + -337 Combine like terms: -8x + 20x = 12x 7(30 + 12x) = 16x + -337 (30 * 7 + 12x * 7) = 16x + -337 (210 + 84x) = 16x + -337 Reorder the terms: 210 + 84x = -337 + 16x Solving 210 + 84x = -337 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 210 + 84x + -16x = -337 + 16x + -16x Combine like terms: 84x + -16x = 68x 210 + 68x = -337 + 16x + -16x Combine like terms: 16x + -16x = 0 210 + 68x = -337 + 0 210 + 68x = -337 Add '-210' to each side of the equation. 210 + -210 + 68x = -337 + -210 Combine like terms: 210 + -210 = 0 0 + 68x = -337 + -210 68x = -337 + -210 Combine like terms: -337 + -210 = -547 68x = -547 Divide each side by '68'. x = -8.044117647 Simplifying x = -8.044117647
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