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Simplifying 14 + 180 + -4x + -8(X + -30) = 5x + -10x + -10 + 50 + -1(x + 30) Reorder the terms: 14 + 180 + -4x + -8(-30 + X) = 5x + -10x + -10 + 50 + -1(x + 30) 14 + 180 + -4x + (-30 * -8 + X * -8) = 5x + -10x + -10 + 50 + -1(x + 30) 14 + 180 + -4x + (240 + -8X) = 5x + -10x + -10 + 50 + -1(x + 30) Reorder the terms: 14 + 180 + 240 + -8X + -4x = 5x + -10x + -10 + 50 + -1(x + 30) Combine like terms: 14 + 180 = 194 194 + 240 + -8X + -4x = 5x + -10x + -10 + 50 + -1(x + 30) Combine like terms: 194 + 240 = 434 434 + -8X + -4x = 5x + -10x + -10 + 50 + -1(x + 30) Reorder the terms: 434 + -8X + -4x = 5x + -10x + -10 + 50 + -1(30 + x) 434 + -8X + -4x = 5x + -10x + -10 + 50 + (30 * -1 + x * -1) 434 + -8X + -4x = 5x + -10x + -10 + 50 + (-30 + -1x) Reorder the terms: 434 + -8X + -4x = -10 + 50 + -30 + 5x + -10x + -1x Combine like terms: -10 + 50 = 40 434 + -8X + -4x = 40 + -30 + 5x + -10x + -1x Combine like terms: 40 + -30 = 10 434 + -8X + -4x = 10 + 5x + -10x + -1x Combine like terms: 5x + -10x = -5x 434 + -8X + -4x = 10 + -5x + -1x Combine like terms: -5x + -1x = -6x 434 + -8X + -4x = 10 + -6x Solving 434 + -8X + -4x = 10 + -6x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-434' to each side of the equation. 434 + -8X + -434 + -4x = 10 + -434 + -6x Reorder the terms: 434 + -434 + -8X + -4x = 10 + -434 + -6x Combine like terms: 434 + -434 = 0 0 + -8X + -4x = 10 + -434 + -6x -8X + -4x = 10 + -434 + -6x Combine like terms: 10 + -434 = -424 -8X + -4x = -424 + -6x Add '4x' to each side of the equation. -8X + -4x + 4x = -424 + -6x + 4x Combine like terms: -4x + 4x = 0 -8X + 0 = -424 + -6x + 4x -8X = -424 + -6x + 4x Combine like terms: -6x + 4x = -2x -8X = -424 + -2x Divide each side by '-8'. X = 53 + 0.25x Simplifying X = 53 + 0.25x
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