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Simplifying 3(2x + -5) + -4(X + -1) = 5X + 4 Reorder the terms: 3(-5 + 2x) + -4(X + -1) = 5X + 4 (-5 * 3 + 2x * 3) + -4(X + -1) = 5X + 4 (-15 + 6x) + -4(X + -1) = 5X + 4 Reorder the terms: -15 + 6x + -4(-1 + X) = 5X + 4 -15 + 6x + (-1 * -4 + X * -4) = 5X + 4 -15 + 6x + (4 + -4X) = 5X + 4 Reorder the terms: -15 + 4 + -4X + 6x = 5X + 4 Combine like terms: -15 + 4 = -11 -11 + -4X + 6x = 5X + 4 Reorder the terms: -11 + -4X + 6x = 4 + 5X Solving -11 + -4X + 6x = 4 + 5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5X' to each side of the equation. -11 + -4X + -5X + 6x = 4 + 5X + -5X Combine like terms: -4X + -5X = -9X -11 + -9X + 6x = 4 + 5X + -5X Combine like terms: 5X + -5X = 0 -11 + -9X + 6x = 4 + 0 -11 + -9X + 6x = 4 Add '11' to each side of the equation. -11 + -9X + 11 + 6x = 4 + 11 Reorder the terms: -11 + 11 + -9X + 6x = 4 + 11 Combine like terms: -11 + 11 = 0 0 + -9X + 6x = 4 + 11 -9X + 6x = 4 + 11 Combine like terms: 4 + 11 = 15 -9X + 6x = 15 Add '-6x' to each side of the equation. -9X + 6x + -6x = 15 + -6x Combine like terms: 6x + -6x = 0 -9X + 0 = 15 + -6x -9X = 15 + -6x Divide each side by '-9'. X = -1.666666667 + 0.6666666667x Simplifying X = -1.666666667 + 0.6666666667x
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