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Simplifying 3(3x + 1) + 4(x + -2) = 0 Reorder the terms: 3(1 + 3x) + 4(x + -2) = 0 (1 * 3 + 3x * 3) + 4(x + -2) = 0 (3 + 9x) + 4(x + -2) = 0 Reorder the terms: 3 + 9x + 4(-2 + x) = 0 3 + 9x + (-2 * 4 + x * 4) = 0 3 + 9x + (-8 + 4x) = 0 Reorder the terms: 3 + -8 + 9x + 4x = 0 Combine like terms: 3 + -8 = -5 -5 + 9x + 4x = 0 Combine like terms: 9x + 4x = 13x -5 + 13x = 0 Solving -5 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 13x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 13x = 0 + 5 13x = 0 + 5 Combine like terms: 0 + 5 = 5 13x = 5 Divide each side by '13'. x = 0.3846153846 Simplifying x = 0.3846153846
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