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Simplifying 4(3x + 1) + 5(x + -3) = 0 Reorder the terms: 4(1 + 3x) + 5(x + -3) = 0 (1 * 4 + 3x * 4) + 5(x + -3) = 0 (4 + 12x) + 5(x + -3) = 0 Reorder the terms: 4 + 12x + 5(-3 + x) = 0 4 + 12x + (-3 * 5 + x * 5) = 0 4 + 12x + (-15 + 5x) = 0 Reorder the terms: 4 + -15 + 12x + 5x = 0 Combine like terms: 4 + -15 = -11 -11 + 12x + 5x = 0 Combine like terms: 12x + 5x = 17x -11 + 17x = 0 Solving -11 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 17x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 17x = 0 + 11 17x = 0 + 11 Combine like terms: 0 + 11 = 11 17x = 11 Divide each side by '17'. x = 0.6470588235 Simplifying x = 0.6470588235
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