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Simplifying -2(X + 7) + 8x + -15 = -2(13 + -1X) Reorder the terms: -2(7 + X) + 8x + -15 = -2(13 + -1X) (7 * -2 + X * -2) + 8x + -15 = -2(13 + -1X) (-14 + -2X) + 8x + -15 = -2(13 + -1X) Reorder the terms: -14 + -15 + -2X + 8x = -2(13 + -1X) Combine like terms: -14 + -15 = -29 -29 + -2X + 8x = -2(13 + -1X) -29 + -2X + 8x = (13 * -2 + -1X * -2) -29 + -2X + 8x = (-26 + 2X) Solving -29 + -2X + 8x = -26 + 2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2X' to each side of the equation. -29 + -2X + -2X + 8x = -26 + 2X + -2X Combine like terms: -2X + -2X = -4X -29 + -4X + 8x = -26 + 2X + -2X Combine like terms: 2X + -2X = 0 -29 + -4X + 8x = -26 + 0 -29 + -4X + 8x = -26 Add '29' to each side of the equation. -29 + -4X + 29 + 8x = -26 + 29 Reorder the terms: -29 + 29 + -4X + 8x = -26 + 29 Combine like terms: -29 + 29 = 0 0 + -4X + 8x = -26 + 29 -4X + 8x = -26 + 29 Combine like terms: -26 + 29 = 3 -4X + 8x = 3 Add '-8x' to each side of the equation. -4X + 8x + -8x = 3 + -8x Combine like terms: 8x + -8x = 0 -4X + 0 = 3 + -8x -4X = 3 + -8x Divide each side by '-4'. X = -0.75 + 2x Simplifying X = -0.75 + 2x
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