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Simplifying 4(3x + -1) + 5(x + 8) = 0 Reorder the terms: 4(-1 + 3x) + 5(x + 8) = 0 (-1 * 4 + 3x * 4) + 5(x + 8) = 0 (-4 + 12x) + 5(x + 8) = 0 Reorder the terms: -4 + 12x + 5(8 + x) = 0 -4 + 12x + (8 * 5 + x * 5) = 0 -4 + 12x + (40 + 5x) = 0 Reorder the terms: -4 + 40 + 12x + 5x = 0 Combine like terms: -4 + 40 = 36 36 + 12x + 5x = 0 Combine like terms: 12x + 5x = 17x 36 + 17x = 0 Solving 36 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 17x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 17x = 0 + -36 17x = 0 + -36 Combine like terms: 0 + -36 = -36 17x = -36 Divide each side by '17'. x = -2.117647059 Simplifying x = -2.117647059
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