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Simplifying 6(x + 3) + -1(4X + -7) = 0 Reorder the terms: 6(3 + x) + -1(4X + -7) = 0 (3 * 6 + x * 6) + -1(4X + -7) = 0 (18 + 6x) + -1(4X + -7) = 0 Reorder the terms: 18 + 6x + -1(-7 + 4X) = 0 18 + 6x + (-7 * -1 + 4X * -1) = 0 18 + 6x + (7 + -4X) = 0 Reorder the terms: 18 + 7 + -4X + 6x = 0 Combine like terms: 18 + 7 = 25 25 + -4X + 6x = 0 Solving 25 + -4X + 6x = 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 + -4X + -25 + 6x = 0 + -25 Reorder the terms: 25 + -25 + -4X + 6x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -4X + 6x = 0 + -25 -4X + 6x = 0 + -25 Combine like terms: 0 + -25 = -25 -4X + 6x = -25 Add '-6x' to each side of the equation. -4X + 6x + -6x = -25 + -6x Combine like terms: 6x + -6x = 0 -4X + 0 = -25 + -6x -4X = -25 + -6x Divide each side by '-4'. X = 6.25 + 1.5x Simplifying X = 6.25 + 1.5x
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