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Simplifying 0 = 2(3x + -5) + 8(4x + 7) Reorder the terms: 0 = 2(-5 + 3x) + 8(4x + 7) 0 = (-5 * 2 + 3x * 2) + 8(4x + 7) 0 = (-10 + 6x) + 8(4x + 7) Reorder the terms: 0 = -10 + 6x + 8(7 + 4x) 0 = -10 + 6x + (7 * 8 + 4x * 8) 0 = -10 + 6x + (56 + 32x) Reorder the terms: 0 = -10 + 56 + 6x + 32x Combine like terms: -10 + 56 = 46 0 = 46 + 6x + 32x Combine like terms: 6x + 32x = 38x 0 = 46 + 38x Solving 0 = 46 + 38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38x' to each side of the equation. 0 + -38x = 46 + 38x + -38x Remove the zero: -38x = 46 + 38x + -38x Combine like terms: 38x + -38x = 0 -38x = 46 + 0 -38x = 46 Divide each side by '-38'. x = -1.210526316 Simplifying x = -1.210526316
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