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Simplifying 5(3x + 2) + 2(4x + 1) = 0 Reorder the terms: 5(2 + 3x) + 2(4x + 1) = 0 (2 * 5 + 3x * 5) + 2(4x + 1) = 0 (10 + 15x) + 2(4x + 1) = 0 Reorder the terms: 10 + 15x + 2(1 + 4x) = 0 10 + 15x + (1 * 2 + 4x * 2) = 0 10 + 15x + (2 + 8x) = 0 Reorder the terms: 10 + 2 + 15x + 8x = 0 Combine like terms: 10 + 2 = 12 12 + 15x + 8x = 0 Combine like terms: 15x + 8x = 23x 12 + 23x = 0 Solving 12 + 23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 23x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 23x = 0 + -12 23x = 0 + -12 Combine like terms: 0 + -12 = -12 23x = -12 Divide each side by '23'. x = -0.5217391304 Simplifying x = -0.5217391304
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