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Simplifying 4(3x + -8) + -1(2x + -7) + 5x = 0 Reorder the terms: 4(-8 + 3x) + -1(2x + -7) + 5x = 0 (-8 * 4 + 3x * 4) + -1(2x + -7) + 5x = 0 (-32 + 12x) + -1(2x + -7) + 5x = 0 Reorder the terms: -32 + 12x + -1(-7 + 2x) + 5x = 0 -32 + 12x + (-7 * -1 + 2x * -1) + 5x = 0 -32 + 12x + (7 + -2x) + 5x = 0 Reorder the terms: -32 + 7 + 12x + -2x + 5x = 0 Combine like terms: -32 + 7 = -25 -25 + 12x + -2x + 5x = 0 Combine like terms: 12x + -2x = 10x -25 + 10x + 5x = 0 Combine like terms: 10x + 5x = 15x -25 + 15x = 0 Solving -25 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 15x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 15x = 0 + 25 15x = 0 + 25 Combine like terms: 0 + 25 = 25 15x = 25 Divide each side by '15'. x = 1.666666667 Simplifying x = 1.666666667
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