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Simplifying X + 5(x + 1) = 4(2 + -1x) + x Reorder the terms: X + 5(1 + x) = 4(2 + -1x) + x X + (1 * 5 + x * 5) = 4(2 + -1x) + x X + (5 + 5x) = 4(2 + -1x) + x Reorder the terms: 5 + X + 5x = 4(2 + -1x) + x 5 + X + 5x = (2 * 4 + -1x * 4) + x 5 + X + 5x = (8 + -4x) + x Combine like terms: -4x + x = -3x 5 + X + 5x = 8 + -3x Solving 5 + X + 5x = 8 + -3x 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 = 8 + -5 + -3x Reorder the terms: 5 + -5 + X + 5x = 8 + -5 + -3x Combine like terms: 5 + -5 = 0 0 + X + 5x = 8 + -5 + -3x X + 5x = 8 + -5 + -3x Combine like terms: 8 + -5 = 3 X + 5x = 3 + -3x Add '-5x' to each side of the equation. X + 5x + -5x = 3 + -3x + -5x Combine like terms: 5x + -5x = 0 X + 0 = 3 + -3x + -5x X = 3 + -3x + -5x Combine like terms: -3x + -5x = -8x X = 3 + -8x Simplifying X = 3 + -8x
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