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Simplifying 10(X + -5) + 6x + -4 = 2(X + -4) + -12x + 4 + -8x + 2 Reorder the terms: 10(-5 + X) + 6x + -4 = 2(X + -4) + -12x + 4 + -8x + 2 (-5 * 10 + X * 10) + 6x + -4 = 2(X + -4) + -12x + 4 + -8x + 2 (-50 + 10X) + 6x + -4 = 2(X + -4) + -12x + 4 + -8x + 2 Reorder the terms: -50 + -4 + 10X + 6x = 2(X + -4) + -12x + 4 + -8x + 2 Combine like terms: -50 + -4 = -54 -54 + 10X + 6x = 2(X + -4) + -12x + 4 + -8x + 2 Reorder the terms: -54 + 10X + 6x = 2(-4 + X) + -12x + 4 + -8x + 2 -54 + 10X + 6x = (-4 * 2 + X * 2) + -12x + 4 + -8x + 2 -54 + 10X + 6x = (-8 + 2X) + -12x + 4 + -8x + 2 Reorder the terms: -54 + 10X + 6x = -8 + 4 + 2 + 2X + -12x + -8x Combine like terms: -8 + 4 = -4 -54 + 10X + 6x = -4 + 2 + 2X + -12x + -8x Combine like terms: -4 + 2 = -2 -54 + 10X + 6x = -2 + 2X + -12x + -8x Combine like terms: -12x + -8x = -20x -54 + 10X + 6x = -2 + 2X + -20x Solving -54 + 10X + 6x = -2 + 2X + -20x 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. -54 + 10X + -2X + 6x = -2 + 2X + -2X + -20x Combine like terms: 10X + -2X = 8X -54 + 8X + 6x = -2 + 2X + -2X + -20x Combine like terms: 2X + -2X = 0 -54 + 8X + 6x = -2 + 0 + -20x -54 + 8X + 6x = -2 + -20x Add '54' to each side of the equation. -54 + 8X + 54 + 6x = -2 + 54 + -20x Reorder the terms: -54 + 54 + 8X + 6x = -2 + 54 + -20x Combine like terms: -54 + 54 = 0 0 + 8X + 6x = -2 + 54 + -20x 8X + 6x = -2 + 54 + -20x Combine like terms: -2 + 54 = 52 8X + 6x = 52 + -20x Add '-6x' to each side of the equation. 8X + 6x + -6x = 52 + -20x + -6x Combine like terms: 6x + -6x = 0 8X + 0 = 52 + -20x + -6x 8X = 52 + -20x + -6x Combine like terms: -20x + -6x = -26x 8X = 52 + -26x Divide each side by '8'. X = 6.5 + -3.25x Simplifying X = 6.5 + -3.25x
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