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Simplifying 2(5X + -8) + -3(4X + -5) = 4(3X + -4) + 11 Reorder the terms: 2(-8 + 5X) + -3(4X + -5) = 4(3X + -4) + 11 (-8 * 2 + 5X * 2) + -3(4X + -5) = 4(3X + -4) + 11 (-16 + 10X) + -3(4X + -5) = 4(3X + -4) + 11 Reorder the terms: -16 + 10X + -3(-5 + 4X) = 4(3X + -4) + 11 -16 + 10X + (-5 * -3 + 4X * -3) = 4(3X + -4) + 11 -16 + 10X + (15 + -12X) = 4(3X + -4) + 11 Reorder the terms: -16 + 15 + 10X + -12X = 4(3X + -4) + 11 Combine like terms: -16 + 15 = -1 -1 + 10X + -12X = 4(3X + -4) + 11 Combine like terms: 10X + -12X = -2X -1 + -2X = 4(3X + -4) + 11 Reorder the terms: -1 + -2X = 4(-4 + 3X) + 11 -1 + -2X = (-4 * 4 + 3X * 4) + 11 -1 + -2X = (-16 + 12X) + 11 Reorder the terms: -1 + -2X = -16 + 11 + 12X Combine like terms: -16 + 11 = -5 -1 + -2X = -5 + 12X Solving -1 + -2X = -5 + 12X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12X' to each side of the equation. -1 + -2X + -12X = -5 + 12X + -12X Combine like terms: -2X + -12X = -14X -1 + -14X = -5 + 12X + -12X Combine like terms: 12X + -12X = 0 -1 + -14X = -5 + 0 -1 + -14X = -5 Add '1' to each side of the equation. -1 + 1 + -14X = -5 + 1 Combine like terms: -1 + 1 = 0 0 + -14X = -5 + 1 -14X = -5 + 1 Combine like terms: -5 + 1 = -4 -14X = -4 Divide each side by '-14'. X = 0.2857142857 Simplifying X = 0.2857142857
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