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Simplifying X + 5(x + -1) = 4 + 8(x + 2) Reorder the terms: X + 5(-1 + x) = 4 + 8(x + 2) X + (-1 * 5 + x * 5) = 4 + 8(x + 2) X + (-5 + 5x) = 4 + 8(x + 2) Reorder the terms: -5 + X + 5x = 4 + 8(x + 2) Reorder the terms: -5 + X + 5x = 4 + 8(2 + x) -5 + X + 5x = 4 + (2 * 8 + x * 8) -5 + X + 5x = 4 + (16 + 8x) Combine like terms: 4 + 16 = 20 -5 + X + 5x = 20 + 8x Solving -5 + X + 5x = 20 + 8x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '5' to each side of the equation. -5 + X + 5 + 5x = 20 + 5 + 8x Reorder the terms: -5 + 5 + X + 5x = 20 + 5 + 8x Combine like terms: -5 + 5 = 0 0 + X + 5x = 20 + 5 + 8x X + 5x = 20 + 5 + 8x Combine like terms: 20 + 5 = 25 X + 5x = 25 + 8x Add '-5x' to each side of the equation. X + 5x + -5x = 25 + 8x + -5x Combine like terms: 5x + -5x = 0 X + 0 = 25 + 8x + -5x X = 25 + 8x + -5x Combine like terms: 8x + -5x = 3x X = 25 + 3x Simplifying X = 25 + 3x
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