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