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Simplifying 3(5x + 1) + 4(x + -3) = 0 Reorder the terms: 3(1 + 5x) + 4(x + -3) = 0 (1 * 3 + 5x * 3) + 4(x + -3) = 0 (3 + 15x) + 4(x + -3) = 0 Reorder the terms: 3 + 15x + 4(-3 + x) = 0 3 + 15x + (-3 * 4 + x * 4) = 0 3 + 15x + (-12 + 4x) = 0 Reorder the terms: 3 + -12 + 15x + 4x = 0 Combine like terms: 3 + -12 = -9 -9 + 15x + 4x = 0 Combine like terms: 15x + 4x = 19x -9 + 19x = 0 Solving -9 + 19x = 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 + 19x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 19x = 0 + 9 19x = 0 + 9 Combine like terms: 0 + 9 = 9 19x = 9 Divide each side by '19'. x = 0.4736842105 Simplifying x = 0.4736842105
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