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Simplifying [3x(4 + 6)] + -8 + [4x(24 + -17)] = 0 Combine like terms: 4 + 6 = 10 [3x(10)] + -8 + [4x(24 + -17)] = 0 Reorder the terms for easier multiplication: [3 * 10x] + -8 + [4x(24 + -17)] = 0 Multiply 3 * 10 [30x] + -8 + [4x(24 + -17)] = 0 Combine like terms: 24 + -17 = 7 [30x] + -8 + [4x(7)] = 0 Reorder the terms for easier multiplication: [30x] + -8 + [4 * 7x] = 0 Multiply 4 * 7 [30x] + -8 + [28x] = 0 Reorder the terms: -8 + [30x] + [28x] = 0 Combine like terms: [30x] + [28x] = 58x -8 + 58x = 0 Solving -8 + 58x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 58x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 58x = 0 + 8 58x = 0 + 8 Combine like terms: 0 + 8 = 8 58x = 8 Divide each side by '58'. x = 0.1379310345 Simplifying x = 0.1379310345
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