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Simplifying (X + -2) + 3x + -2 = (x + 3) * 2 Reorder the terms: (-2 + X) + 3x + -2 = (x + 3) * 2 Remove parenthesis around (-2 + X) -2 + X + 3x + -2 = (x + 3) * 2 Reorder the terms: -2 + -2 + X + 3x = (x + 3) * 2 Combine like terms: -2 + -2 = -4 -4 + X + 3x = (x + 3) * 2 Reorder the terms: -4 + X + 3x = (3 + x) * 2 Reorder the terms for easier multiplication: -4 + X + 3x = 2(3 + x) -4 + X + 3x = (3 * 2 + x * 2) -4 + X + 3x = (6 + 2x) Solving -4 + X + 3x = 6 + 2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + X + 4 + 3x = 6 + 4 + 2x Reorder the terms: -4 + 4 + X + 3x = 6 + 4 + 2x Combine like terms: -4 + 4 = 0 0 + X + 3x = 6 + 4 + 2x X + 3x = 6 + 4 + 2x Combine like terms: 6 + 4 = 10 X + 3x = 10 + 2x Add '-3x' to each side of the equation. X + 3x + -3x = 10 + 2x + -3x Combine like terms: 3x + -3x = 0 X + 0 = 10 + 2x + -3x X = 10 + 2x + -3x Combine like terms: 2x + -3x = -1x X = 10 + -1x Simplifying X = 10 + -1x
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