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Simplifying 5(X + -8) + -3x = 4(X + -3) + -2 Reorder the terms: 5(-8 + X) + -3x = 4(X + -3) + -2 (-8 * 5 + X * 5) + -3x = 4(X + -3) + -2 (-40 + 5X) + -3x = 4(X + -3) + -2 Reorder the terms: -40 + 5X + -3x = 4(-3 + X) + -2 -40 + 5X + -3x = (-3 * 4 + X * 4) + -2 -40 + 5X + -3x = (-12 + 4X) + -2 Reorder the terms: -40 + 5X + -3x = -12 + -2 + 4X Combine like terms: -12 + -2 = -14 -40 + 5X + -3x = -14 + 4X Solving -40 + 5X + -3x = -14 + 4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4X' to each side of the equation. -40 + 5X + -4X + -3x = -14 + 4X + -4X Combine like terms: 5X + -4X = 1X -40 + 1X + -3x = -14 + 4X + -4X Combine like terms: 4X + -4X = 0 -40 + 1X + -3x = -14 + 0 -40 + 1X + -3x = -14 Add '40' to each side of the equation. -40 + 1X + 40 + -3x = -14 + 40 Reorder the terms: -40 + 40 + 1X + -3x = -14 + 40 Combine like terms: -40 + 40 = 0 0 + 1X + -3x = -14 + 40 1X + -3x = -14 + 40 Combine like terms: -14 + 40 = 26 1X + -3x = 26 Add '3x' to each side of the equation. 1X + -3x + 3x = 26 + 3x Combine like terms: -3x + 3x = 0 1X + 0 = 26 + 3x 1X = 26 + 3x Divide each side by '1'. X = 26 + 3x Simplifying X = 26 + 3x
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