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Simplifying 3(3x + 1) + 4(x + -3) = 0 Reorder the terms: 3(1 + 3x) + 4(x + -3) = 0 (1 * 3 + 3x * 3) + 4(x + -3) = 0 (3 + 9x) + 4(x + -3) = 0 Reorder the terms: 3 + 9x + 4(-3 + x) = 0 3 + 9x + (-3 * 4 + x * 4) = 0 3 + 9x + (-12 + 4x) = 0 Reorder the terms: 3 + -12 + 9x + 4x = 0 Combine like terms: 3 + -12 = -9 -9 + 9x + 4x = 0 Combine like terms: 9x + 4x = 13x -9 + 13x = 0 Solving -9 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 13x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 13x = 0 + 9 13x = 0 + 9 Combine like terms: 0 + 9 = 9 13x = 9 Divide each side by '13'. x = 0.6923076923 Simplifying x = 0.6923076923
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